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Finding the Fourth Proportional to 877.38, 1,309.40 and 780.18

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Solution

The fourth proportional to 877.38, 1,309.40 and 780.18 is: 1,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.38 : 1,309.40 = 780.18 : x
  2. Step 2: Convert to fraction form
    877.38/1,309.40 = 780.18/x
  3. Step 3: Cross multiply
    877.38x = 1,309.40 × 780.18
  4. Step 4: Simplify right side
    877.38x = 1,021,563.79
  5. Step 5: Solve for x
    x = 1,021,563.79/877.38
  6. Step 6: Final answer
    x = 1,164.33

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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.