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Finding the Fourth Proportional to 880.48, 1,312.97 and 818.92

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Solution

The fourth proportional to 880.48, 1,312.97 and 818.92 is: 1,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.48 : 1,312.97 = 818.92 : x
  2. Step 2: Convert to fraction form
    880.48/1,312.97 = 818.92/x
  3. Step 3: Cross multiply
    880.48x = 1,312.97 × 818.92
  4. Step 4: Simplify right side
    880.48x = 1,075,217.39
  5. Step 5: Solve for x
    x = 1,075,217.39/880.48
  6. Step 6: Final answer
    x = 1,221.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.