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Finding the Fourth Proportional to 572.68, 858.26 and 312.80

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Solution

The fourth proportional to 572.68, 858.26 and 312.80 is: 468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.68 : 858.26 = 312.80 : x
  2. Step 2: Convert to fraction form
    572.68/858.26 = 312.80/x
  3. Step 3: Cross multiply
    572.68x = 858.26 × 312.80
  4. Step 4: Simplify right side
    572.68x = 268,463.73
  5. Step 5: Solve for x
    x = 268,463.73/572.68
  6. Step 6: Final answer
    x = 468.78

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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.