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Finding the Fourth Proportional to 1,094.78, 1,639.74 and 545.78

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Solution

The fourth proportional to 1,094.78, 1,639.74 and 545.78 is: 817.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,639.74 = 545.78 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,639.74 = 545.78/x
  3. Step 3: Cross multiply
    1,094.78x = 1,639.74 × 545.78
  4. Step 4: Simplify right side
    1,094.78x = 894,937.30
  5. Step 5: Solve for x
    x = 894,937.30/1,094.78
  6. Step 6: Final answer
    x = 817.46

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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.