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Finding the Fourth Proportional to 1,045.08, 1,442.12 and 602.88

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Solution

The fourth proportional to 1,045.08, 1,442.12 and 602.88 is: 831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.08 : 1,442.12 = 602.88 : x
  2. Step 2: Convert to fraction form
    1,045.08/1,442.12 = 602.88/x
  3. Step 3: Cross multiply
    1,045.08x = 1,442.12 × 602.88
  4. Step 4: Simplify right side
    1,045.08x = 869,425.31
  5. Step 5: Solve for x
    x = 869,425.31/1,045.08
  6. Step 6: Final answer
    x = 831.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.