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Finding the Fourth Proportional to 782.41, 1,172.70 and 435.58

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Solution

The fourth proportional to 782.41, 1,172.70 and 435.58 is: 652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.41 : 1,172.70 = 435.58 : x
  2. Step 2: Convert to fraction form
    782.41/1,172.70 = 435.58/x
  3. Step 3: Cross multiply
    782.41x = 1,172.70 × 435.58
  4. Step 4: Simplify right side
    782.41x = 510,796.62
  5. Step 5: Solve for x
    x = 510,796.62/782.41
  6. Step 6: Final answer
    x = 652.85

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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.