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Finding the Fourth Proportional to 531.44, 792.41 and 530.40

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Solution

The fourth proportional to 531.44, 792.41 and 530.40 is: 790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.44 : 792.41 = 530.40 : x
  2. Step 2: Convert to fraction form
    531.44/792.41 = 530.40/x
  3. Step 3: Cross multiply
    531.44x = 792.41 × 530.40
  4. Step 4: Simplify right side
    531.44x = 420,291.61
  5. Step 5: Solve for x
    x = 420,291.61/531.44
  6. Step 6: Final answer
    x = 790.86

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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.