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Finding the Fourth Proportional to 784.12, 1,175.27 and 296.71

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Solution

The fourth proportional to 784.12, 1,175.27 and 296.71 is: 444.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.12 : 1,175.27 = 296.71 : x
  2. Step 2: Convert to fraction form
    784.12/1,175.27 = 296.71/x
  3. Step 3: Cross multiply
    784.12x = 1,175.27 × 296.71
  4. Step 4: Simplify right side
    784.12x = 348,714.36
  5. Step 5: Solve for x
    x = 348,714.36/784.12
  6. Step 6: Final answer
    x = 444.72

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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.