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Finding the Fourth Proportional to 782.66, 1,173.19 and 436.15

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Solution

The fourth proportional to 782.66, 1,173.19 and 436.15 is: 653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.66 : 1,173.19 = 436.15 : x
  2. Step 2: Convert to fraction form
    782.66/1,173.19 = 436.15/x
  3. Step 3: Cross multiply
    782.66x = 1,173.19 × 436.15
  4. Step 4: Simplify right side
    782.66x = 511,686.82
  5. Step 5: Solve for x
    x = 511,686.82/782.66
  6. Step 6: Final answer
    x = 653.78

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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.