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Finding the Fourth Proportional to 616.55, 923.60 and 471.56

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Solution

The fourth proportional to 616.55, 923.60 and 471.56 is: 706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.55 : 923.60 = 471.56 : x
  2. Step 2: Convert to fraction form
    616.55/923.60 = 471.56/x
  3. Step 3: Cross multiply
    616.55x = 923.60 × 471.56
  4. Step 4: Simplify right side
    616.55x = 435,529.38
  5. Step 5: Solve for x
    x = 435,529.38/616.55
  6. Step 6: Final answer
    x = 706.40

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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.