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Finding the Fourth Proportional to 880.05, 1,214.34 and 565.74

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Solution

The fourth proportional to 880.05, 1,214.34 and 565.74 is: 780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.05 : 1,214.34 = 565.74 : x
  2. Step 2: Convert to fraction form
    880.05/1,214.34 = 565.74/x
  3. Step 3: Cross multiply
    880.05x = 1,214.34 × 565.74
  4. Step 4: Simplify right side
    880.05x = 687,000.71
  5. Step 5: Solve for x
    x = 687,000.71/880.05
  6. Step 6: Final answer
    x = 780.64

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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.