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Finding the Fourth Proportional to 948.46, 1,423.58 and 583.96

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Solution

The fourth proportional to 948.46, 1,423.58 and 583.96 is: 876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.46 : 1,423.58 = 583.96 : x
  2. Step 2: Convert to fraction form
    948.46/1,423.58 = 583.96/x
  3. Step 3: Cross multiply
    948.46x = 1,423.58 × 583.96
  4. Step 4: Simplify right side
    948.46x = 831,313.78
  5. Step 5: Solve for x
    x = 831,313.78/948.46
  6. Step 6: Final answer
    x = 876.49

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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.