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Finding the Fourth Proportional to 781.85, 1,171.87 and 435.17

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Solution

The fourth proportional to 781.85, 1,171.87 and 435.17 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.85 : 1,171.87 = 435.17 : x
  2. Step 2: Convert to fraction form
    781.85/1,171.87 = 435.17/x
  3. Step 3: Cross multiply
    781.85x = 1,171.87 × 435.17
  4. Step 4: Simplify right side
    781.85x = 509,964.51
  5. Step 5: Solve for x
    x = 509,964.51/781.85
  6. Step 6: Final answer
    x = 652.25

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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.