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Finding the Fourth Proportional to 663.09, 915.13 and 497.02

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Solution

The fourth proportional to 663.09, 915.13 and 497.02 is: 685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.09 : 915.13 = 497.02 : x
  2. Step 2: Convert to fraction form
    663.09/915.13 = 497.02/x
  3. Step 3: Cross multiply
    663.09x = 915.13 × 497.02
  4. Step 4: Simplify right side
    663.09x = 454,837.91
  5. Step 5: Solve for x
    x = 454,837.91/663.09
  6. Step 6: Final answer
    x = 685.94

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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.