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Finding the Fourth Proportional to 522.70, 780.18 and 461.20

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Solution

The fourth proportional to 522.70, 780.18 and 461.20 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 780.18 = 461.20 : x
  2. Step 2: Convert to fraction form
    522.70/780.18 = 461.20/x
  3. Step 3: Cross multiply
    522.70x = 780.18 × 461.20
  4. Step 4: Simplify right side
    522.70x = 359,819.02
  5. Step 5: Solve for x
    x = 359,819.02/522.70
  6. Step 6: Final answer
    x = 688.39

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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.