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Finding the Fourth Proportional to 880.23, 1,214.40 and 565.47

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Solution

The fourth proportional to 880.23, 1,214.40 and 565.47 is: 780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.23 : 1,214.40 = 565.47 : x
  2. Step 2: Convert to fraction form
    880.23/1,214.40 = 565.47/x
  3. Step 3: Cross multiply
    880.23x = 1,214.40 × 565.47
  4. Step 4: Simplify right side
    880.23x = 686,706.77
  5. Step 5: Solve for x
    x = 686,706.77/880.23
  6. Step 6: Final answer
    x = 780.14

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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.