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Finding the Fourth Proportional to 961.37, 1,442.05 and 474.15

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Solution

The fourth proportional to 961.37, 1,442.05 and 474.15 is: 711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.37 : 1,442.05 = 474.15 : x
  2. Step 2: Convert to fraction form
    961.37/1,442.05 = 474.15/x
  3. Step 3: Cross multiply
    961.37x = 1,442.05 × 474.15
  4. Step 4: Simplify right side
    961.37x = 683,748.01
  5. Step 5: Solve for x
    x = 683,748.01/961.37
  6. Step 6: Final answer
    x = 711.23

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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.