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Finding the Fourth Proportional to 987.17, 1,362.87 and 656.06

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Solution

The fourth proportional to 987.17, 1,362.87 and 656.06 is: 905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.17 : 1,362.87 = 656.06 : x
  2. Step 2: Convert to fraction form
    987.17/1,362.87 = 656.06/x
  3. Step 3: Cross multiply
    987.17x = 1,362.87 × 656.06
  4. Step 4: Simplify right side
    987.17x = 894,117.68
  5. Step 5: Solve for x
    x = 894,117.68/987.17
  6. Step 6: Final answer
    x = 905.74

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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.