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Finding the Fourth Proportional to 477.83, 658.91 and 345.20

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Solution

The fourth proportional to 477.83, 658.91 and 345.20 is: 476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.83 : 658.91 = 345.20 : x
  2. Step 2: Convert to fraction form
    477.83/658.91 = 345.20/x
  3. Step 3: Cross multiply
    477.83x = 658.91 × 345.20
  4. Step 4: Simplify right side
    477.83x = 227,454.01
  5. Step 5: Solve for x
    x = 227,454.01/477.83
  6. Step 6: Final answer
    x = 476.01

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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.