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Finding the Fourth Proportional to 951.60, 1,312.45 and 578.57

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Solution

The fourth proportional to 951.60, 1,312.45 and 578.57 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.60 : 1,312.45 = 578.57 : x
  2. Step 2: Convert to fraction form
    951.60/1,312.45 = 578.57/x
  3. Step 3: Cross multiply
    951.60x = 1,312.45 × 578.57
  4. Step 4: Simplify right side
    951.60x = 759,344.20
  5. Step 5: Solve for x
    x = 759,344.20/951.60
  6. Step 6: Final answer
    x = 797.97

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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.