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Finding the Fourth Proportional to 663.30, 915.47 and 505.69

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Solution

The fourth proportional to 663.30, 915.47 and 505.69 is: 697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.30 : 915.47 = 505.69 : x
  2. Step 2: Convert to fraction form
    663.30/915.47 = 505.69/x
  3. Step 3: Cross multiply
    663.30x = 915.47 × 505.69
  4. Step 4: Simplify right side
    663.30x = 462,944.02
  5. Step 5: Solve for x
    x = 462,944.02/663.30
  6. Step 6: Final answer
    x = 697.94

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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.