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Finding the Fourth Proportional to 880.42, 1,214.17 and 810.63

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Solution

The fourth proportional to 880.42, 1,214.17 and 810.63 is: 1,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.42 : 1,214.17 = 810.63 : x
  2. Step 2: Convert to fraction form
    880.42/1,214.17 = 810.63/x
  3. Step 3: Cross multiply
    880.42x = 1,214.17 × 810.63
  4. Step 4: Simplify right side
    880.42x = 984,242.63
  5. Step 5: Solve for x
    x = 984,242.63/880.42
  6. Step 6: Final answer
    x = 1,117.92

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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.