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Finding the Fourth Proportional to 655.53, 985.14 and 495.15

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Solution

The fourth proportional to 655.53, 985.14 and 495.15 is: 744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.53 : 985.14 = 495.15 : x
  2. Step 2: Convert to fraction form
    655.53/985.14 = 495.15/x
  3. Step 3: Cross multiply
    655.53x = 985.14 × 495.15
  4. Step 4: Simplify right side
    655.53x = 487,792.07
  5. Step 5: Solve for x
    x = 487,792.07/655.53
  6. Step 6: Final answer
    x = 744.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.