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Finding the Fourth Proportional to 987.10, 1,363.34 and 654.95

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Solution

The fourth proportional to 987.10, 1,363.34 and 654.95 is: 904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.10 : 1,363.34 = 654.95 : x
  2. Step 2: Convert to fraction form
    987.10/1,363.34 = 654.95/x
  3. Step 3: Cross multiply
    987.10x = 1,363.34 × 654.95
  4. Step 4: Simplify right side
    987.10x = 892,924.58
  5. Step 5: Solve for x
    x = 892,924.58/987.10
  6. Step 6: Final answer
    x = 904.60

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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.