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Finding the Fourth Proportional to 951.60, 1,313 and 578.78

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Solution

The fourth proportional to 951.60, 1,313 and 578.78 is: 798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.60 : 1,313 = 578.78 : x
  2. Step 2: Convert to fraction form
    951.60/1,313 = 578.78/x
  3. Step 3: Cross multiply
    951.60x = 1,313 × 578.78
  4. Step 4: Simplify right side
    951.60x = 759,938.14
  5. Step 5: Solve for x
    x = 759,938.14/951.60
  6. Step 6: Final answer
    x = 798.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.