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Finding the Fourth Proportional to 1,151.65, 1,717.89 and 1,040.93

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Solution

The fourth proportional to 1,151.65, 1,717.89 and 1,040.93 is: 1,552.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.65 : 1,717.89 = 1,040.93 : x
  2. Step 2: Convert to fraction form
    1,151.65/1,717.89 = 1,040.93/x
  3. Step 3: Cross multiply
    1,151.65x = 1,717.89 × 1,040.93
  4. Step 4: Simplify right side
    1,151.65x = 1,788,203.24
  5. Step 5: Solve for x
    x = 1,788,203.24/1,151.65
  6. Step 6: Final answer
    x = 1,552.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.