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Finding the Fourth Proportional to 948.40, 1,423.49 and 583.90

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Solution

The fourth proportional to 948.40, 1,423.49 and 583.90 is: 876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.40 : 1,423.49 = 583.90 : x
  2. Step 2: Convert to fraction form
    948.40/1,423.49 = 583.90/x
  3. Step 3: Cross multiply
    948.40x = 1,423.49 × 583.90
  4. Step 4: Simplify right side
    948.40x = 831,169.33
  5. Step 5: Solve for x
    x = 831,169.33/948.40
  6. Step 6: Final answer
    x = 876.39

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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.