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Finding the Fourth Proportional to 618.70, 924.42 and 597.17

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Solution

The fourth proportional to 618.70, 924.42 and 597.17 is: 892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.70 : 924.42 = 597.17 : x
  2. Step 2: Convert to fraction form
    618.70/924.42 = 597.17/x
  3. Step 3: Cross multiply
    618.70x = 924.42 × 597.17
  4. Step 4: Simplify right side
    618.70x = 552,035.89
  5. Step 5: Solve for x
    x = 552,035.89/618.70
  6. Step 6: Final answer
    x = 892.25

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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.