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Finding the Fourth Proportional to 782.47, 1,173.30 and 288.51

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Solution

The fourth proportional to 782.47, 1,173.30 and 288.51 is: 432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.47 : 1,173.30 = 288.51 : x
  2. Step 2: Convert to fraction form
    782.47/1,173.30 = 288.51/x
  3. Step 3: Cross multiply
    782.47x = 1,173.30 × 288.51
  4. Step 4: Simplify right side
    782.47x = 338,508.78
  5. Step 5: Solve for x
    x = 338,508.78/782.47
  6. Step 6: Final answer
    x = 432.62

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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.