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Finding the Fourth Proportional to 948.87, 1,423.53 and 363.84

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Solution

The fourth proportional to 948.87, 1,423.53 and 363.84 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.87 : 1,423.53 = 363.84 : x
  2. Step 2: Convert to fraction form
    948.87/1,423.53 = 363.84/x
  3. Step 3: Cross multiply
    948.87x = 1,423.53 × 363.84
  4. Step 4: Simplify right side
    948.87x = 517,937.16
  5. Step 5: Solve for x
    x = 517,937.16/948.87
  6. Step 6: Final answer
    x = 545.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.