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Finding the Fourth Proportional to 610.85, 841.99 and 477.85

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Solution

The fourth proportional to 610.85, 841.99 and 477.85 is: 658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.85 : 841.99 = 477.85 : x
  2. Step 2: Convert to fraction form
    610.85/841.99 = 477.85/x
  3. Step 3: Cross multiply
    610.85x = 841.99 × 477.85
  4. Step 4: Simplify right side
    610.85x = 402,340.71
  5. Step 5: Solve for x
    x = 402,340.71/610.85
  6. Step 6: Final answer
    x = 658.66

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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.