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Finding the Fourth Proportional to 784.76, 1,177.14 and 271.80

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Solution

The fourth proportional to 784.76, 1,177.14 and 271.80 is: 407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.76 : 1,177.14 = 271.80 : x
  2. Step 2: Convert to fraction form
    784.76/1,177.14 = 271.80/x
  3. Step 3: Cross multiply
    784.76x = 1,177.14 × 271.80
  4. Step 4: Simplify right side
    784.76x = 319,946.65
  5. Step 5: Solve for x
    x = 319,946.65/784.76
  6. Step 6: Final answer
    x = 407.70

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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.