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Finding the Fourth Proportional to 586.96, 810.10 and 477.27

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Solution

The fourth proportional to 586.96, 810.10 and 477.27 is: 658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.96 : 810.10 = 477.27 : x
  2. Step 2: Convert to fraction form
    586.96/810.10 = 477.27/x
  3. Step 3: Cross multiply
    586.96x = 810.10 × 477.27
  4. Step 4: Simplify right side
    586.96x = 386,634.75
  5. Step 5: Solve for x
    x = 386,634.75/586.96
  6. Step 6: Final answer
    x = 658.71

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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.