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Finding the Fourth Proportional to 655.59, 975.12 and 597.15

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Solution

The fourth proportional to 655.59, 975.12 and 597.15 is: 888.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.59 : 975.12 = 597.15 : x
  2. Step 2: Convert to fraction form
    655.59/975.12 = 597.15/x
  3. Step 3: Cross multiply
    655.59x = 975.12 × 597.15
  4. Step 4: Simplify right side
    655.59x = 582,292.91
  5. Step 5: Solve for x
    x = 582,292.91/655.59
  6. Step 6: Final answer
    x = 888.20

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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.