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Finding the Fourth Proportional to 784.25, 1,176.45 and 207.13

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Solution

The fourth proportional to 784.25, 1,176.45 and 207.13 is: 310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,176.45 = 207.13 : x
  2. Step 2: Convert to fraction form
    784.25/1,176.45 = 207.13/x
  3. Step 3: Cross multiply
    784.25x = 1,176.45 × 207.13
  4. Step 4: Simplify right side
    784.25x = 243,671.17
  5. Step 5: Solve for x
    x = 243,671.17/784.25
  6. Step 6: Final answer
    x = 310.71

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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.