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Finding the Fourth Proportional to 963.61, 1,445.72 and 573.53

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Solution

The fourth proportional to 963.61, 1,445.72 and 573.53 is: 860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.61 : 1,445.72 = 573.53 : x
  2. Step 2: Convert to fraction form
    963.61/1,445.72 = 573.53/x
  3. Step 3: Cross multiply
    963.61x = 1,445.72 × 573.53
  4. Step 4: Simplify right side
    963.61x = 829,153.70
  5. Step 5: Solve for x
    x = 829,153.70/963.61
  6. Step 6: Final answer
    x = 860.47

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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.