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Finding the Fourth Proportional to 862.79, 1,288.85 and 775.98

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Solution

The fourth proportional to 862.79, 1,288.85 and 775.98 is: 1,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.79 : 1,288.85 = 775.98 : x
  2. Step 2: Convert to fraction form
    862.79/1,288.85 = 775.98/x
  3. Step 3: Cross multiply
    862.79x = 1,288.85 × 775.98
  4. Step 4: Simplify right side
    862.79x = 1,000,117.94
  5. Step 5: Solve for x
    x = 1,000,117.94/862.79
  6. Step 6: Final answer
    x = 1,159.17

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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.