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Finding the Fourth Proportional to 827.90, 1,142.98 and 576.19

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Solution

The fourth proportional to 827.90, 1,142.98 and 576.19 is: 795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.90 : 1,142.98 = 576.19 : x
  2. Step 2: Convert to fraction form
    827.90/1,142.98 = 576.19/x
  3. Step 3: Cross multiply
    827.90x = 1,142.98 × 576.19
  4. Step 4: Simplify right side
    827.90x = 658,573.63
  5. Step 5: Solve for x
    x = 658,573.63/827.90
  6. Step 6: Final answer
    x = 795.48

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.