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Finding the Fourth Proportional to 477.59, 659.09 and 312.24

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Solution

The fourth proportional to 477.59, 659.09 and 312.24 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.59 : 659.09 = 312.24 : x
  2. Step 2: Convert to fraction form
    477.59/659.09 = 312.24/x
  3. Step 3: Cross multiply
    477.59x = 659.09 × 312.24
  4. Step 4: Simplify right side
    477.59x = 205,795.04
  5. Step 5: Solve for x
    x = 205,795.04/477.59
  6. Step 6: Final answer
    x = 430.91

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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.