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Finding the Fourth Proportional to 610.81, 918.24 and 473.92

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Solution

The fourth proportional to 610.81, 918.24 and 473.92 is: 712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.81 : 918.24 = 473.92 : x
  2. Step 2: Convert to fraction form
    610.81/918.24 = 473.92/x
  3. Step 3: Cross multiply
    610.81x = 918.24 × 473.92
  4. Step 4: Simplify right side
    610.81x = 435,170.01
  5. Step 5: Solve for x
    x = 435,170.01/610.81
  6. Step 6: Final answer
    x = 712.45

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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.