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Finding the Fourth Proportional to 616.44, 923.86 and 471.45

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Solution

The fourth proportional to 616.44, 923.86 and 471.45 is: 706.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 923.86 = 471.45 : x
  2. Step 2: Convert to fraction form
    616.44/923.86 = 471.45/x
  3. Step 3: Cross multiply
    616.44x = 923.86 × 471.45
  4. Step 4: Simplify right side
    616.44x = 435,555.20
  5. Step 5: Solve for x
    x = 435,555.20/616.44
  6. Step 6: Final answer
    x = 706.56

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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.