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Finding the Fourth Proportional to 522.85, 780.25 and 478.70

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Solution

The fourth proportional to 522.85, 780.25 and 478.70 is: 714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.85 : 780.25 = 478.70 : x
  2. Step 2: Convert to fraction form
    522.85/780.25 = 478.70/x
  3. Step 3: Cross multiply
    522.85x = 780.25 × 478.70
  4. Step 4: Simplify right side
    522.85x = 373,505.68
  5. Step 5: Solve for x
    x = 373,505.68/522.85
  6. Step 6: Final answer
    x = 714.36

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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.