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Finding the Fourth Proportional to 477.62, 717.27 and 470.78

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Solution

The fourth proportional to 477.62, 717.27 and 470.78 is: 707.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.62 : 717.27 = 470.78 : x
  2. Step 2: Convert to fraction form
    477.62/717.27 = 470.78/x
  3. Step 3: Cross multiply
    477.62x = 717.27 × 470.78
  4. Step 4: Simplify right side
    477.62x = 337,676.37
  5. Step 5: Solve for x
    x = 337,676.37/477.62
  6. Step 6: Final answer
    x = 707.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.