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Finding the Fourth Proportional to 968.60, 1,452.90 and 762.93

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Solution

The fourth proportional to 968.60, 1,452.90 and 762.93 is: 1,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.60 : 1,452.90 = 762.93 : x
  2. Step 2: Convert to fraction form
    968.60/1,452.90 = 762.93/x
  3. Step 3: Cross multiply
    968.60x = 1,452.90 × 762.93
  4. Step 4: Simplify right side
    968.60x = 1,108,461.00
  5. Step 5: Solve for x
    x = 1,108,461.00/968.60
  6. Step 6: Final answer
    x = 1,144.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.