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Finding the Fourth Proportional to 1,019.15, 1,527.98 and 325.42

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Solution

The fourth proportional to 1,019.15, 1,527.98 and 325.42 is: 487.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.15 : 1,527.98 = 325.42 : x
  2. Step 2: Convert to fraction form
    1,019.15/1,527.98 = 325.42/x
  3. Step 3: Cross multiply
    1,019.15x = 1,527.98 × 325.42
  4. Step 4: Simplify right side
    1,019.15x = 497,229.80
  5. Step 5: Solve for x
    x = 497,229.80/1,019.15
  6. Step 6: Final answer
    x = 487.89

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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.