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Finding the Fourth Proportional to 1,087.78, 1,501.05 and 645.79

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Solution

The fourth proportional to 1,087.78, 1,501.05 and 645.79 is: 891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.78 : 1,501.05 = 645.79 : x
  2. Step 2: Convert to fraction form
    1,087.78/1,501.05 = 645.79/x
  3. Step 3: Cross multiply
    1,087.78x = 1,501.05 × 645.79
  4. Step 4: Simplify right side
    1,087.78x = 969,363.08
  5. Step 5: Solve for x
    x = 969,363.08/1,087.78
  6. Step 6: Final answer
    x = 891.14

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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.