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Finding the Fourth Proportional to 961.04, 1,442.53 and 648.65

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Solution

The fourth proportional to 961.04, 1,442.53 and 648.65 is: 973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.04 : 1,442.53 = 648.65 : x
  2. Step 2: Convert to fraction form
    961.04/1,442.53 = 648.65/x
  3. Step 3: Cross multiply
    961.04x = 1,442.53 × 648.65
  4. Step 4: Simplify right side
    961.04x = 935,697.08
  5. Step 5: Solve for x
    x = 935,697.08/961.04
  6. Step 6: Final answer
    x = 973.63

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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.