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Finding the Fourth Proportional to 1,151.79, 1,589.93 and 753.63

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Solution

The fourth proportional to 1,151.79, 1,589.93 and 753.63 is: 1,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.79 : 1,589.93 = 753.63 : x
  2. Step 2: Convert to fraction form
    1,151.79/1,589.93 = 753.63/x
  3. Step 3: Cross multiply
    1,151.79x = 1,589.93 × 753.63
  4. Step 4: Simplify right side
    1,151.79x = 1,198,218.95
  5. Step 5: Solve for x
    x = 1,198,218.95/1,151.79
  6. Step 6: Final answer
    x = 1,040.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.