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Finding the Fourth Proportional to 530.68, 792.76 and 383.17

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Solution

The fourth proportional to 530.68, 792.76 and 383.17 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.68 : 792.76 = 383.17 : x
  2. Step 2: Convert to fraction form
    530.68/792.76 = 383.17/x
  3. Step 3: Cross multiply
    530.68x = 792.76 × 383.17
  4. Step 4: Simplify right side
    530.68x = 303,761.85
  5. Step 5: Solve for x
    x = 303,761.85/530.68
  6. Step 6: Final answer
    x = 572.40

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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.