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Finding the Fourth Proportional to 827.69, 1,142.21 and 478.58

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Solution

The fourth proportional to 827.69, 1,142.21 and 478.58 is: 660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.69 : 1,142.21 = 478.58 : x
  2. Step 2: Convert to fraction form
    827.69/1,142.21 = 478.58/x
  3. Step 3: Cross multiply
    827.69x = 1,142.21 × 478.58
  4. Step 4: Simplify right side
    827.69x = 546,638.86
  5. Step 5: Solve for x
    x = 546,638.86/827.69
  6. Step 6: Final answer
    x = 660.44

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Half scale
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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.