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Finding the Fourth Proportional to 951.60, 1,312.68 and 601.68

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Solution

The fourth proportional to 951.60, 1,312.68 and 601.68 is: 829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.60 : 1,312.68 = 601.68 : x
  2. Step 2: Convert to fraction form
    951.60/1,312.68 = 601.68/x
  3. Step 3: Cross multiply
    951.60x = 1,312.68 × 601.68
  4. Step 4: Simplify right side
    951.60x = 789,813.30
  5. Step 5: Solve for x
    x = 789,813.30/951.60
  6. Step 6: Final answer
    x = 829.98

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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.