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Finding the Fourth Proportional to 963.32, 1,437.42 and 904.55

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Solution

The fourth proportional to 963.32, 1,437.42 and 904.55 is: 1,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.32 : 1,437.42 = 904.55 : x
  2. Step 2: Convert to fraction form
    963.32/1,437.42 = 904.55/x
  3. Step 3: Cross multiply
    963.32x = 1,437.42 × 904.55
  4. Step 4: Simplify right side
    963.32x = 1,300,218.26
  5. Step 5: Solve for x
    x = 1,300,218.26/963.32
  6. Step 6: Final answer
    x = 1,349.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.