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Finding the Fourth Proportional to 889.68, 1,332.64 and 760.24

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Solution

The fourth proportional to 889.68, 1,332.64 and 760.24 is: 1,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.68 : 1,332.64 = 760.24 : x
  2. Step 2: Convert to fraction form
    889.68/1,332.64 = 760.24/x
  3. Step 3: Cross multiply
    889.68x = 1,332.64 × 760.24
  4. Step 4: Simplify right side
    889.68x = 1,013,126.23
  5. Step 5: Solve for x
    x = 1,013,126.23/889.68
  6. Step 6: Final answer
    x = 1,138.75

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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.