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Finding the Fourth Proportional to 784.96, 1,176.30 and 432.82

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Solution

The fourth proportional to 784.96, 1,176.30 and 432.82 is: 648.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,176.30 = 432.82 : x
  2. Step 2: Convert to fraction form
    784.96/1,176.30 = 432.82/x
  3. Step 3: Cross multiply
    784.96x = 1,176.30 × 432.82
  4. Step 4: Simplify right side
    784.96x = 509,126.17
  5. Step 5: Solve for x
    x = 509,126.17/784.96
  6. Step 6: Final answer
    x = 648.60

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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.