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Finding the Fourth Proportional to 948.62, 1,423.13 and 400.81

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Solution

The fourth proportional to 948.62, 1,423.13 and 400.81 is: 601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.62 : 1,423.13 = 400.81 : x
  2. Step 2: Convert to fraction form
    948.62/1,423.13 = 400.81/x
  3. Step 3: Cross multiply
    948.62x = 1,423.13 × 400.81
  4. Step 4: Simplify right side
    948.62x = 570,404.74
  5. Step 5: Solve for x
    x = 570,404.74/948.62
  6. Step 6: Final answer
    x = 601.30

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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.