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Finding the Fourth Proportional to 784.14, 1,176.34 and 315.61

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Solution

The fourth proportional to 784.14, 1,176.34 and 315.61 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.14 : 1,176.34 = 315.61 : x
  2. Step 2: Convert to fraction form
    784.14/1,176.34 = 315.61/x
  3. Step 3: Cross multiply
    784.14x = 1,176.34 × 315.61
  4. Step 4: Simplify right side
    784.14x = 371,263.09
  5. Step 5: Solve for x
    x = 371,263.09/784.14
  6. Step 6: Final answer
    x = 473.47

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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.