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Finding the Fourth Proportional to 963.54, 1,445.25 and 314.10

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Solution

The fourth proportional to 963.54, 1,445.25 and 314.10 is: 471.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.54 : 1,445.25 = 314.10 : x
  2. Step 2: Convert to fraction form
    963.54/1,445.25 = 314.10/x
  3. Step 3: Cross multiply
    963.54x = 1,445.25 × 314.10
  4. Step 4: Simplify right side
    963.54x = 453,953.03
  5. Step 5: Solve for x
    x = 453,953.03/963.54
  6. Step 6: Final answer
    x = 471.13

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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.