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Finding the Fourth Proportional to 1,146.89, 1,581.54 and 981.65

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Solution

The fourth proportional to 1,146.89, 1,581.54 and 981.65 is: 1,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.89 : 1,581.54 = 981.65 : x
  2. Step 2: Convert to fraction form
    1,146.89/1,581.54 = 981.65/x
  3. Step 3: Cross multiply
    1,146.89x = 1,581.54 × 981.65
  4. Step 4: Simplify right side
    1,146.89x = 1,552,518.74
  5. Step 5: Solve for x
    x = 1,552,518.74/1,146.89
  6. Step 6: Final answer
    x = 1,353.68

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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.