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Finding the Fourth Proportional to 1,049.32, 1,574 and 723.72

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Solution

The fourth proportional to 1,049.32, 1,574 and 723.72 is: 1,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.32 : 1,574 = 723.72 : x
  2. Step 2: Convert to fraction form
    1,049.32/1,574 = 723.72/x
  3. Step 3: Cross multiply
    1,049.32x = 1,574 × 723.72
  4. Step 4: Simplify right side
    1,049.32x = 1,139,135.28
  5. Step 5: Solve for x
    x = 1,139,135.28/1,049.32
  6. Step 6: Final answer
    x = 1,085.59

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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.