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Finding the Fourth Proportional to 475.79, 710.54 and 410.92

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Solution

The fourth proportional to 475.79, 710.54 and 410.92 is: 613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.79 : 710.54 = 410.92 : x
  2. Step 2: Convert to fraction form
    475.79/710.54 = 410.92/x
  3. Step 3: Cross multiply
    475.79x = 710.54 × 410.92
  4. Step 4: Simplify right side
    475.79x = 291,974.35
  5. Step 5: Solve for x
    x = 291,974.35/475.79
  6. Step 6: Final answer
    x = 613.67

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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.