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Finding the Fourth Proportional to 877.68, 1,317.34 and 445.14

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Solution

The fourth proportional to 877.68, 1,317.34 and 445.14 is: 668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.68 : 1,317.34 = 445.14 : x
  2. Step 2: Convert to fraction form
    877.68/1,317.34 = 445.14/x
  3. Step 3: Cross multiply
    877.68x = 1,317.34 × 445.14
  4. Step 4: Simplify right side
    877.68x = 586,400.73
  5. Step 5: Solve for x
    x = 586,400.73/877.68
  6. Step 6: Final answer
    x = 668.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.