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Finding the Fourth Proportional to 782.30, 1,173.47 and 435.44

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Solution

The fourth proportional to 782.30, 1,173.47 and 435.44 is: 653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.30 : 1,173.47 = 435.44 : x
  2. Step 2: Convert to fraction form
    782.30/1,173.47 = 435.44/x
  3. Step 3: Cross multiply
    782.30x = 1,173.47 × 435.44
  4. Step 4: Simplify right side
    782.30x = 510,967.73
  5. Step 5: Solve for x
    x = 510,967.73/782.30
  6. Step 6: Final answer
    x = 653.17

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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.