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Finding the Fourth Proportional to 616.39, 923.47 and 528.91

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Solution

The fourth proportional to 616.39, 923.47 and 528.91 is: 792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.39 : 923.47 = 528.91 : x
  2. Step 2: Convert to fraction form
    616.39/923.47 = 528.91/x
  3. Step 3: Cross multiply
    616.39x = 923.47 × 528.91
  4. Step 4: Simplify right side
    616.39x = 488,428.89
  5. Step 5: Solve for x
    x = 488,428.89/616.39
  6. Step 6: Final answer
    x = 792.41

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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.