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Finding the Fourth Proportional to 782.23, 1,172.58 and 288.49

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Solution

The fourth proportional to 782.23, 1,172.58 and 288.49 is: 432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.23 : 1,172.58 = 288.49 : x
  2. Step 2: Convert to fraction form
    782.23/1,172.58 = 288.49/x
  3. Step 3: Cross multiply
    782.23x = 1,172.58 × 288.49
  4. Step 4: Simplify right side
    782.23x = 338,277.60
  5. Step 5: Solve for x
    x = 338,277.60/782.23
  6. Step 6: Final answer
    x = 432.45

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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.