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Finding the Fourth Proportional to 655.06, 977.98 and 500.16

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Solution

The fourth proportional to 655.06, 977.98 and 500.16 is: 746.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.06 : 977.98 = 500.16 : x
  2. Step 2: Convert to fraction form
    655.06/977.98 = 500.16/x
  3. Step 3: Cross multiply
    655.06x = 977.98 × 500.16
  4. Step 4: Simplify right side
    655.06x = 489,146.48
  5. Step 5: Solve for x
    x = 489,146.48/655.06
  6. Step 6: Final answer
    x = 746.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.