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Finding the Fourth Proportional to 880.78, 1,214.58 and 531.40

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Solution

The fourth proportional to 880.78, 1,214.58 and 531.40 is: 732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.78 : 1,214.58 = 531.40 : x
  2. Step 2: Convert to fraction form
    880.78/1,214.58 = 531.40/x
  3. Step 3: Cross multiply
    880.78x = 1,214.58 × 531.40
  4. Step 4: Simplify right side
    880.78x = 645,427.81
  5. Step 5: Solve for x
    x = 645,427.81/880.78
  6. Step 6: Final answer
    x = 732.79

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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.