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Finding the Fourth Proportional to 948.70, 1,422.10 and 332.29

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Solution

The fourth proportional to 948.70, 1,422.10 and 332.29 is: 498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.70 : 1,422.10 = 332.29 : x
  2. Step 2: Convert to fraction form
    948.70/1,422.10 = 332.29/x
  3. Step 3: Cross multiply
    948.70x = 1,422.10 × 332.29
  4. Step 4: Simplify right side
    948.70x = 472,549.61
  5. Step 5: Solve for x
    x = 472,549.61/948.70
  6. Step 6: Final answer
    x = 498.10

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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.