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Finding the Fourth Proportional to 948.43, 1,423.19 and 538.03

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Solution

The fourth proportional to 948.43, 1,423.19 and 538.03 is: 807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.43 : 1,423.19 = 538.03 : x
  2. Step 2: Convert to fraction form
    948.43/1,423.19 = 538.03/x
  3. Step 3: Cross multiply
    948.43x = 1,423.19 × 538.03
  4. Step 4: Simplify right side
    948.43x = 765,718.92
  5. Step 5: Solve for x
    x = 765,718.92/948.43
  6. Step 6: Final answer
    x = 807.35

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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.