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Finding the Fourth Proportional to 476.61, 658.04 and 365.89

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Solution

The fourth proportional to 476.61, 658.04 and 365.89 is: 505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.61 : 658.04 = 365.89 : x
  2. Step 2: Convert to fraction form
    476.61/658.04 = 365.89/x
  3. Step 3: Cross multiply
    476.61x = 658.04 × 365.89
  4. Step 4: Simplify right side
    476.61x = 240,770.26
  5. Step 5: Solve for x
    x = 240,770.26/476.61
  6. Step 6: Final answer
    x = 505.17

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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.