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Finding the Fourth Proportional to 987.47, 1,362.64 and 545.28

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Solution

The fourth proportional to 987.47, 1,362.64 and 545.28 is: 752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.47 : 1,362.64 = 545.28 : x
  2. Step 2: Convert to fraction form
    987.47/1,362.64 = 545.28/x
  3. Step 3: Cross multiply
    987.47x = 1,362.64 × 545.28
  4. Step 4: Simplify right side
    987.47x = 743,020.34
  5. Step 5: Solve for x
    x = 743,020.34/987.47
  6. Step 6: Final answer
    x = 752.45

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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.