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Finding the Fourth Proportional to 1,019.20, 1,527.06 and 433.90

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Solution

The fourth proportional to 1,019.20, 1,527.06 and 433.90 is: 650.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.20 : 1,527.06 = 433.90 : x
  2. Step 2: Convert to fraction form
    1,019.20/1,527.06 = 433.90/x
  3. Step 3: Cross multiply
    1,019.20x = 1,527.06 × 433.90
  4. Step 4: Simplify right side
    1,019.20x = 662,585.46
  5. Step 5: Solve for x
    x = 662,585.46/1,019.20
  6. Step 6: Final answer
    x = 650.10

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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.