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Finding the Fourth Proportional to 864.80, 1,301.82 and 775.50

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Solution

The fourth proportional to 864.80, 1,301.82 and 775.50 is: 1,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.80 : 1,301.82 = 775.50 : x
  2. Step 2: Convert to fraction form
    864.80/1,301.82 = 775.50/x
  3. Step 3: Cross multiply
    864.80x = 1,301.82 × 775.50
  4. Step 4: Simplify right side
    864.80x = 1,009,561.41
  5. Step 5: Solve for x
    x = 1,009,561.41/864.80
  6. Step 6: Final answer
    x = 1,167.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.