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Finding the Fourth Proportional to 959.03, 1,436.95 and 727.65

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Solution

The fourth proportional to 959.03, 1,436.95 and 727.65 is: 1,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.03 : 1,436.95 = 727.65 : x
  2. Step 2: Convert to fraction form
    959.03/1,436.95 = 727.65/x
  3. Step 3: Cross multiply
    959.03x = 1,436.95 × 727.65
  4. Step 4: Simplify right side
    959.03x = 1,045,585.84
  5. Step 5: Solve for x
    x = 1,045,585.84/959.03
  6. Step 6: Final answer
    x = 1,090.25

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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.