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Finding the Fourth Proportional to 881.58, 1,210.13 and 781.14

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Solution

The fourth proportional to 881.58, 1,210.13 and 781.14 is: 1,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.58 : 1,210.13 = 781.14 : x
  2. Step 2: Convert to fraction form
    881.58/1,210.13 = 781.14/x
  3. Step 3: Cross multiply
    881.58x = 1,210.13 × 781.14
  4. Step 4: Simplify right side
    881.58x = 945,277.04
  5. Step 5: Solve for x
    x = 945,277.04/881.58
  6. Step 6: Final answer
    x = 1,072.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.