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Finding the Fourth Proportional to 1,018.39, 1,527.85 and 433.42

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Solution

The fourth proportional to 1,018.39, 1,527.85 and 433.42 is: 650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.39 : 1,527.85 = 433.42 : x
  2. Step 2: Convert to fraction form
    1,018.39/1,527.85 = 433.42/x
  3. Step 3: Cross multiply
    1,018.39x = 1,527.85 × 433.42
  4. Step 4: Simplify right side
    1,018.39x = 662,200.75
  5. Step 5: Solve for x
    x = 662,200.75/1,018.39
  6. Step 6: Final answer
    x = 650.24

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1.5x scale

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.