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Finding the Fourth Proportional to 960.90, 1,442.08 and 652.02

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Solution

The fourth proportional to 960.90, 1,442.08 and 652.02 is: 978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.90 : 1,442.08 = 652.02 : x
  2. Step 2: Convert to fraction form
    960.90/1,442.08 = 652.02/x
  3. Step 3: Cross multiply
    960.90x = 1,442.08 × 652.02
  4. Step 4: Simplify right side
    960.90x = 940,265.00
  5. Step 5: Solve for x
    x = 940,265.00/960.90
  6. Step 6: Final answer
    x = 978.53

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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.