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Finding the Fourth Proportional to 1,015.33, 1,523.55 and 430.66

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Solution

The fourth proportional to 1,015.33, 1,523.55 and 430.66 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.33 : 1,523.55 = 430.66 : x
  2. Step 2: Convert to fraction form
    1,015.33/1,523.55 = 430.66/x
  3. Step 3: Cross multiply
    1,015.33x = 1,523.55 × 430.66
  4. Step 4: Simplify right side
    1,015.33x = 656,132.04
  5. Step 5: Solve for x
    x = 656,132.04/1,015.33
  6. Step 6: Final answer
    x = 646.23

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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.