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Finding the Fourth Proportional to 784.57, 1,177.08 and 316.19

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Solution

The fourth proportional to 784.57, 1,177.08 and 316.19 is: 474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.57 : 1,177.08 = 316.19 : x
  2. Step 2: Convert to fraction form
    784.57/1,177.08 = 316.19/x
  3. Step 3: Cross multiply
    784.57x = 1,177.08 × 316.19
  4. Step 4: Simplify right side
    784.57x = 372,180.93
  5. Step 5: Solve for x
    x = 372,180.93/784.57
  6. Step 6: Final answer
    x = 474.38

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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.