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Finding the Fourth Proportional to 1,146.78, 1,717.99 and 653.53

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Solution

The fourth proportional to 1,146.78, 1,717.99 and 653.53 is: 979.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.78 : 1,717.99 = 653.53 : x
  2. Step 2: Convert to fraction form
    1,146.78/1,717.99 = 653.53/x
  3. Step 3: Cross multiply
    1,146.78x = 1,717.99 × 653.53
  4. Step 4: Simplify right side
    1,146.78x = 1,122,750.47
  5. Step 5: Solve for x
    x = 1,122,750.47/1,146.78
  6. Step 6: Final answer
    x = 979.04

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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.