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Finding the Fourth Proportional to 1,015.52, 1,523.25 and 430.15

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Solution

The fourth proportional to 1,015.52, 1,523.25 and 430.15 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.52 : 1,523.25 = 430.15 : x
  2. Step 2: Convert to fraction form
    1,015.52/1,523.25 = 430.15/x
  3. Step 3: Cross multiply
    1,015.52x = 1,523.25 × 430.15
  4. Step 4: Simplify right side
    1,015.52x = 655,226.44
  5. Step 5: Solve for x
    x = 655,226.44/1,015.52
  6. Step 6: Final answer
    x = 645.21

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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.