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Finding the Fourth Proportional to 1,145.64, 1,716.03 and 781.14

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Solution

The fourth proportional to 1,145.64, 1,716.03 and 781.14 is: 1,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.64 : 1,716.03 = 781.14 : x
  2. Step 2: Convert to fraction form
    1,145.64/1,716.03 = 781.14/x
  3. Step 3: Cross multiply
    1,145.64x = 1,716.03 × 781.14
  4. Step 4: Simplify right side
    1,145.64x = 1,340,459.67
  5. Step 5: Solve for x
    x = 1,340,459.67/1,145.64
  6. Step 6: Final answer
    x = 1,170.05

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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.