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Finding the Fourth Proportional to 1,015.94, 1,524.07 and 430.95

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Solution

The fourth proportional to 1,015.94, 1,524.07 and 430.95 is: 646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.94 : 1,524.07 = 430.95 : x
  2. Step 2: Convert to fraction form
    1,015.94/1,524.07 = 430.95/x
  3. Step 3: Cross multiply
    1,015.94x = 1,524.07 × 430.95
  4. Step 4: Simplify right side
    1,015.94x = 656,790.35
  5. Step 5: Solve for x
    x = 656,790.35/1,015.94
  6. Step 6: Final answer
    x = 646.49

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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.