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Finding the Fourth Proportional to 784.72, 1,177.12 and 271.76

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Solution

The fourth proportional to 784.72, 1,177.12 and 271.76 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.72 : 1,177.12 = 271.76 : x
  2. Step 2: Convert to fraction form
    784.72/1,177.12 = 271.76/x
  3. Step 3: Cross multiply
    784.72x = 1,177.12 × 271.76
  4. Step 4: Simplify right side
    784.72x = 319,894.13
  5. Step 5: Solve for x
    x = 319,894.13/784.72
  6. Step 6: Final answer
    x = 407.65

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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.