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Finding the Fourth Proportional to 962.82, 1,442.43 and 597.78

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Solution

The fourth proportional to 962.82, 1,442.43 and 597.78 is: 895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.82 : 1,442.43 = 597.78 : x
  2. Step 2: Convert to fraction form
    962.82/1,442.43 = 597.78/x
  3. Step 3: Cross multiply
    962.82x = 1,442.43 × 597.78
  4. Step 4: Simplify right side
    962.82x = 862,255.81
  5. Step 5: Solve for x
    x = 862,255.81/962.82
  6. Step 6: Final answer
    x = 895.55

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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.