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Finding the Fourth Proportional to 784.46, 1,176.22 and 472.20

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Solution

The fourth proportional to 784.46, 1,176.22 and 472.20 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.46 : 1,176.22 = 472.20 : x
  2. Step 2: Convert to fraction form
    784.46/1,176.22 = 472.20/x
  3. Step 3: Cross multiply
    784.46x = 1,176.22 × 472.20
  4. Step 4: Simplify right side
    784.46x = 555,411.08
  5. Step 5: Solve for x
    x = 555,411.08/784.46
  6. Step 6: Final answer
    x = 708.02

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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.