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Finding the Fourth Proportional to 987.68, 1,361.28 and 655.52

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Solution

The fourth proportional to 987.68, 1,361.28 and 655.52 is: 903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.68 : 1,361.28 = 655.52 : x
  2. Step 2: Convert to fraction form
    987.68/1,361.28 = 655.52/x
  3. Step 3: Cross multiply
    987.68x = 1,361.28 × 655.52
  4. Step 4: Simplify right side
    987.68x = 892,339.46
  5. Step 5: Solve for x
    x = 892,339.46/987.68
  6. Step 6: Final answer
    x = 903.47

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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.