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Finding the Fourth Proportional to 572.43, 858.35 and 279.95

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Solution

The fourth proportional to 572.43, 858.35 and 279.95 is: 419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.43 : 858.35 = 279.95 : x
  2. Step 2: Convert to fraction form
    572.43/858.35 = 279.95/x
  3. Step 3: Cross multiply
    572.43x = 858.35 × 279.95
  4. Step 4: Simplify right side
    572.43x = 240,292.94
  5. Step 5: Solve for x
    x = 240,292.94/572.43
  6. Step 6: Final answer
    x = 419.78

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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.