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Finding the Fourth Proportional to 918.47, 1,376.26 and 780.95

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Solution

The fourth proportional to 918.47, 1,376.26 and 780.95 is: 1,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.47 : 1,376.26 = 780.95 : x
  2. Step 2: Convert to fraction form
    918.47/1,376.26 = 780.95/x
  3. Step 3: Cross multiply
    918.47x = 1,376.26 × 780.95
  4. Step 4: Simplify right side
    918.47x = 1,074,781.41
  5. Step 5: Solve for x
    x = 1,074,781.41/918.47
  6. Step 6: Final answer
    x = 1,170.19

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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.