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Finding the Fourth Proportional to 581.54, 862.58 and 572.90

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Solution

The fourth proportional to 581.54, 862.58 and 572.90 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.54 : 862.58 = 572.90 : x
  2. Step 2: Convert to fraction form
    581.54/862.58 = 572.90/x
  3. Step 3: Cross multiply
    581.54x = 862.58 × 572.90
  4. Step 4: Simplify right side
    581.54x = 494,172.08
  5. Step 5: Solve for x
    x = 494,172.08/581.54
  6. Step 6: Final answer
    x = 849.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.