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Finding the Fourth Proportional to 576.54, 861.71 and 530.42

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Solution

The fourth proportional to 576.54, 861.71 and 530.42 is: 792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.54 : 861.71 = 530.42 : x
  2. Step 2: Convert to fraction form
    576.54/861.71 = 530.42/x
  3. Step 3: Cross multiply
    576.54x = 861.71 × 530.42
  4. Step 4: Simplify right side
    576.54x = 457,061.26
  5. Step 5: Solve for x
    x = 457,061.26/576.54
  6. Step 6: Final answer
    x = 792.77

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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.