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Finding the Fourth Proportional to 867.20, 1,294.05 and 774.93

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Solution

The fourth proportional to 867.20, 1,294.05 and 774.93 is: 1,156.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.20 : 1,294.05 = 774.93 : x
  2. Step 2: Convert to fraction form
    867.20/1,294.05 = 774.93/x
  3. Step 3: Cross multiply
    867.20x = 1,294.05 × 774.93
  4. Step 4: Simplify right side
    867.20x = 1,002,798.17
  5. Step 5: Solve for x
    x = 1,002,798.17/867.20
  6. Step 6: Final answer
    x = 1,156.37

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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.