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Finding the Fourth Proportional to 782.19, 1,172.48 and 456.57

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Solution

The fourth proportional to 782.19, 1,172.48 and 456.57 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.19 : 1,172.48 = 456.57 : x
  2. Step 2: Convert to fraction form
    782.19/1,172.48 = 456.57/x
  3. Step 3: Cross multiply
    782.19x = 1,172.48 × 456.57
  4. Step 4: Simplify right side
    782.19x = 535,316.91
  5. Step 5: Solve for x
    x = 535,316.91/782.19
  6. Step 6: Final answer
    x = 684.38

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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.