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Finding the Fourth Proportional to 616.60, 923.10 and 598.60

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Solution

The fourth proportional to 616.60, 923.10 and 598.60 is: 896.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 923.10 = 598.60 : x
  2. Step 2: Convert to fraction form
    616.60/923.10 = 598.60/x
  3. Step 3: Cross multiply
    616.60x = 923.10 × 598.60
  4. Step 4: Simplify right side
    616.60x = 552,567.66
  5. Step 5: Solve for x
    x = 552,567.66/616.60
  6. Step 6: Final answer
    x = 896.15

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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.