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Finding the Fourth Proportional to 782.12, 1,173.62 and 435.48

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Solution

The fourth proportional to 782.12, 1,173.62 and 435.48 is: 653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.12 : 1,173.62 = 435.48 : x
  2. Step 2: Convert to fraction form
    782.12/1,173.62 = 435.48/x
  3. Step 3: Cross multiply
    782.12x = 1,173.62 × 435.48
  4. Step 4: Simplify right side
    782.12x = 511,088.04
  5. Step 5: Solve for x
    x = 511,088.04/782.12
  6. Step 6: Final answer
    x = 653.46

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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.