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Finding the Fourth Proportional to 987.57, 1,362.42 and 655.88

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Solution

The fourth proportional to 987.57, 1,362.42 and 655.88 is: 904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.57 : 1,362.42 = 655.88 : x
  2. Step 2: Convert to fraction form
    987.57/1,362.42 = 655.88/x
  3. Step 3: Cross multiply
    987.57x = 1,362.42 × 655.88
  4. Step 4: Simplify right side
    987.57x = 893,577.22
  5. Step 5: Solve for x
    x = 893,577.22/987.57
  6. Step 6: Final answer
    x = 904.82

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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.