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Finding the Fourth Proportional to 1,095.39, 1,511.67 and 653.28

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Solution

The fourth proportional to 1,095.39, 1,511.67 and 653.28 is: 901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.39 : 1,511.67 = 653.28 : x
  2. Step 2: Convert to fraction form
    1,095.39/1,511.67 = 653.28/x
  3. Step 3: Cross multiply
    1,095.39x = 1,511.67 × 653.28
  4. Step 4: Simplify right side
    1,095.39x = 987,543.78
  5. Step 5: Solve for x
    x = 987,543.78/1,095.39
  6. Step 6: Final answer
    x = 901.55

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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.