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Finding the Fourth Proportional to 987.61, 1,362.39 and 917.25

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Solution

The fourth proportional to 987.61, 1,362.39 and 917.25 is: 1,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.61 : 1,362.39 = 917.25 : x
  2. Step 2: Convert to fraction form
    987.61/1,362.39 = 917.25/x
  3. Step 3: Cross multiply
    987.61x = 1,362.39 × 917.25
  4. Step 4: Simplify right side
    987.61x = 1,249,655.25
  5. Step 5: Solve for x
    x = 1,249,655.25/987.61
  6. Step 6: Final answer
    x = 1,265.34

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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.