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Finding the Fourth Proportional to 477.20, 710.08 and 475.58

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Solution

The fourth proportional to 477.20, 710.08 and 475.58 is: 707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.20 : 710.08 = 475.58 : x
  2. Step 2: Convert to fraction form
    477.20/710.08 = 475.58/x
  3. Step 3: Cross multiply
    477.20x = 710.08 × 475.58
  4. Step 4: Simplify right side
    477.20x = 337,695.11
  5. Step 5: Solve for x
    x = 337,695.11/477.20
  6. Step 6: Final answer
    x = 707.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.