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Finding the Fourth Proportional to 530.59, 792.16 and 478.75

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Solution

The fourth proportional to 530.59, 792.16 and 478.75 is: 714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.59 : 792.16 = 478.75 : x
  2. Step 2: Convert to fraction form
    530.59/792.16 = 478.75/x
  3. Step 3: Cross multiply
    530.59x = 792.16 × 478.75
  4. Step 4: Simplify right side
    530.59x = 379,246.60
  5. Step 5: Solve for x
    x = 379,246.60/530.59
  6. Step 6: Final answer
    x = 714.76

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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.