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Finding the Fourth Proportional to 963.18, 1,447.08 and 910.74

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Solution

The fourth proportional to 963.18, 1,447.08 and 910.74 is: 1,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.18 : 1,447.08 = 910.74 : x
  2. Step 2: Convert to fraction form
    963.18/1,447.08 = 910.74/x
  3. Step 3: Cross multiply
    963.18x = 1,447.08 × 910.74
  4. Step 4: Simplify right side
    963.18x = 1,317,913.64
  5. Step 5: Solve for x
    x = 1,317,913.64/963.18
  6. Step 6: Final answer
    x = 1,368.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.