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Finding the Fourth Proportional to 1,049.74, 1,571.76 and 740.32

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Solution

The fourth proportional to 1,049.74, 1,571.76 and 740.32 is: 1,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.74 : 1,571.76 = 740.32 : x
  2. Step 2: Convert to fraction form
    1,049.74/1,571.76 = 740.32/x
  3. Step 3: Cross multiply
    1,049.74x = 1,571.76 × 740.32
  4. Step 4: Simplify right side
    1,049.74x = 1,163,605.36
  5. Step 5: Solve for x
    x = 1,163,605.36/1,049.74
  6. Step 6: Final answer
    x = 1,108.47

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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.