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Finding the Fourth Proportional to 877.28, 1,314.30 and 780.08

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Solution

The fourth proportional to 877.28, 1,314.30 and 780.08 is: 1,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.28 : 1,314.30 = 780.08 : x
  2. Step 2: Convert to fraction form
    877.28/1,314.30 = 780.08/x
  3. Step 3: Cross multiply
    877.28x = 1,314.30 × 780.08
  4. Step 4: Simplify right side
    877.28x = 1,025,259.14
  5. Step 5: Solve for x
    x = 1,025,259.14/877.28
  6. Step 6: Final answer
    x = 1,168.68

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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.