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Finding the Fourth Proportional to 762.60, 1,140.84 and 661.02

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Solution

The fourth proportional to 762.60, 1,140.84 and 661.02 is: 988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.60 : 1,140.84 = 661.02 : x
  2. Step 2: Convert to fraction form
    762.60/1,140.84 = 661.02/x
  3. Step 3: Cross multiply
    762.60x = 1,140.84 × 661.02
  4. Step 4: Simplify right side
    762.60x = 754,118.06
  5. Step 5: Solve for x
    x = 754,118.06/762.60
  6. Step 6: Final answer
    x = 988.88

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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.