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Finding the Fourth Proportional to 784.80, 1,177.20 and 432.45

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Solution

The fourth proportional to 784.80, 1,177.20 and 432.45 is: 648.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.80 : 1,177.20 = 432.45 : x
  2. Step 2: Convert to fraction form
    784.80/1,177.20 = 432.45/x
  3. Step 3: Cross multiply
    784.80x = 1,177.20 × 432.45
  4. Step 4: Simplify right side
    784.80x = 509,080.14
  5. Step 5: Solve for x
    x = 509,080.14/784.80
  6. Step 6: Final answer
    x = 648.68

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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.