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Finding the Fourth Proportional to 907.29, 1,362.33 and 869.85

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Solution

The fourth proportional to 907.29, 1,362.33 and 869.85 is: 1,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.29 : 1,362.33 = 869.85 : x
  2. Step 2: Convert to fraction form
    907.29/1,362.33 = 869.85/x
  3. Step 3: Cross multiply
    907.29x = 1,362.33 × 869.85
  4. Step 4: Simplify right side
    907.29x = 1,185,022.75
  5. Step 5: Solve for x
    x = 1,185,022.75/907.29
  6. Step 6: Final answer
    x = 1,306.11

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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.