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Finding the Fourth Proportional to 880.78, 1,215.34 and 545.01

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Solution

The fourth proportional to 880.78, 1,215.34 and 545.01 is: 752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.78 : 1,215.34 = 545.01 : x
  2. Step 2: Convert to fraction form
    880.78/1,215.34 = 545.01/x
  3. Step 3: Cross multiply
    880.78x = 1,215.34 × 545.01
  4. Step 4: Simplify right side
    880.78x = 662,372.45
  5. Step 5: Solve for x
    x = 662,372.45/880.78
  6. Step 6: Final answer
    x = 752.03

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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.