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Finding the Fourth Proportional to 530.38, 792.27 and 452.98

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Solution

The fourth proportional to 530.38, 792.27 and 452.98 is: 676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.38 : 792.27 = 452.98 : x
  2. Step 2: Convert to fraction form
    530.38/792.27 = 452.98/x
  3. Step 3: Cross multiply
    530.38x = 792.27 × 452.98
  4. Step 4: Simplify right side
    530.38x = 358,880.20
  5. Step 5: Solve for x
    x = 358,880.20/530.38
  6. Step 6: Final answer
    x = 676.65

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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.