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Finding the Fourth Proportional to 1,008.73, 1,510.53 and 734.59

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Solution

The fourth proportional to 1,008.73, 1,510.53 and 734.59 is: 1,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.73 : 1,510.53 = 734.59 : x
  2. Step 2: Convert to fraction form
    1,008.73/1,510.53 = 734.59/x
  3. Step 3: Cross multiply
    1,008.73x = 1,510.53 × 734.59
  4. Step 4: Simplify right side
    1,008.73x = 1,109,620.23
  5. Step 5: Solve for x
    x = 1,109,620.23/1,008.73
  6. Step 6: Final answer
    x = 1,100.02

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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.