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Finding the Fourth Proportional to 877.04, 1,311.68 and 780.23

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Solution

The fourth proportional to 877.04, 1,311.68 and 780.23 is: 1,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.04 : 1,311.68 = 780.23 : x
  2. Step 2: Convert to fraction form
    877.04/1,311.68 = 780.23/x
  3. Step 3: Cross multiply
    877.04x = 1,311.68 × 780.23
  4. Step 4: Simplify right side
    877.04x = 1,023,401.63
  5. Step 5: Solve for x
    x = 1,023,401.63/877.04
  6. Step 6: Final answer
    x = 1,166.89

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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.