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Finding the Fourth Proportional to 962.86, 1,445.31 and 782.43

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Solution

The fourth proportional to 962.86, 1,445.31 and 782.43 is: 1,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.86 : 1,445.31 = 782.43 : x
  2. Step 2: Convert to fraction form
    962.86/1,445.31 = 782.43/x
  3. Step 3: Cross multiply
    962.86x = 1,445.31 × 782.43
  4. Step 4: Simplify right side
    962.86x = 1,130,853.90
  5. Step 5: Solve for x
    x = 1,130,853.90/962.86
  6. Step 6: Final answer
    x = 1,174.47

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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.