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Finding the Fourth Proportional to 477.62, 659.40 and 312.11

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Solution

The fourth proportional to 477.62, 659.40 and 312.11 is: 430.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.62 : 659.40 = 312.11 : x
  2. Step 2: Convert to fraction form
    477.62/659.40 = 312.11/x
  3. Step 3: Cross multiply
    477.62x = 659.40 × 312.11
  4. Step 4: Simplify right side
    477.62x = 205,800.87
  5. Step 5: Solve for x
    x = 205,800.87/477.62
  6. Step 6: Final answer
    x = 430.89

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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.