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Finding the Fourth Proportional to 616.52, 851.11 and 476.32

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Solution

The fourth proportional to 616.52, 851.11 and 476.32 is: 657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.52 : 851.11 = 476.32 : x
  2. Step 2: Convert to fraction form
    616.52/851.11 = 476.32/x
  3. Step 3: Cross multiply
    616.52x = 851.11 × 476.32
  4. Step 4: Simplify right side
    616.52x = 405,400.72
  5. Step 5: Solve for x
    x = 405,400.72/616.52
  6. Step 6: Final answer
    x = 657.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.