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Finding the Fourth Proportional to 781.94, 1,174.06 and 435.95

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Solution

The fourth proportional to 781.94, 1,174.06 and 435.95 is: 654.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.94 : 1,174.06 = 435.95 : x
  2. Step 2: Convert to fraction form
    781.94/1,174.06 = 435.95/x
  3. Step 3: Cross multiply
    781.94x = 1,174.06 × 435.95
  4. Step 4: Simplify right side
    781.94x = 511,828.84
  5. Step 5: Solve for x
    x = 511,828.84/781.94
  6. Step 6: Final answer
    x = 654.56

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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.