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Finding the Fourth Proportional to 880.42, 1,214.40 and 565.78

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Solution

The fourth proportional to 880.42, 1,214.40 and 565.78 is: 780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.42 : 1,214.40 = 565.78 : x
  2. Step 2: Convert to fraction form
    880.42/1,214.40 = 565.78/x
  3. Step 3: Cross multiply
    880.42x = 1,214.40 × 565.78
  4. Step 4: Simplify right side
    880.42x = 687,083.23
  5. Step 5: Solve for x
    x = 687,083.23/880.42
  6. Step 6: Final answer
    x = 780.40

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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.