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Finding the Fourth Proportional to 506.69, 699.20 and 285.60

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Solution

The fourth proportional to 506.69, 699.20 and 285.60 is: 394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.69 : 699.20 = 285.60 : x
  2. Step 2: Convert to fraction form
    506.69/699.20 = 285.60/x
  3. Step 3: Cross multiply
    506.69x = 699.20 × 285.60
  4. Step 4: Simplify right side
    506.69x = 199,693.78
  5. Step 5: Solve for x
    x = 199,693.78/506.69
  6. Step 6: Final answer
    x = 394.12

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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.