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Finding the Fourth Proportional to 827.49, 1,142.30 and 529.13

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Solution

The fourth proportional to 827.49, 1,142.30 and 529.13 is: 730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.49 : 1,142.30 = 529.13 : x
  2. Step 2: Convert to fraction form
    827.49/1,142.30 = 529.13/x
  3. Step 3: Cross multiply
    827.49x = 1,142.30 × 529.13
  4. Step 4: Simplify right side
    827.49x = 604,429.38
  5. Step 5: Solve for x
    x = 604,429.38/827.49
  6. Step 6: Final answer
    x = 730.44

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Double scale
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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.