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Finding the Fourth Proportional to 781.45, 1,171.73 and 469.19

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Solution

The fourth proportional to 781.45, 1,171.73 and 469.19 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.45 : 1,171.73 = 469.19 : x
  2. Step 2: Convert to fraction form
    781.45/1,171.73 = 469.19/x
  3. Step 3: Cross multiply
    781.45x = 1,171.73 × 469.19
  4. Step 4: Simplify right side
    781.45x = 549,768.10
  5. Step 5: Solve for x
    x = 549,768.10/781.45
  6. Step 6: Final answer
    x = 703.53

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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.