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Finding the Fourth Proportional to 723.42, 996.54 and 678.06

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Solution

The fourth proportional to 723.42, 996.54 and 678.06 is: 934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.42 : 996.54 = 678.06 : x
  2. Step 2: Convert to fraction form
    723.42/996.54 = 678.06/x
  3. Step 3: Cross multiply
    723.42x = 996.54 × 678.06
  4. Step 4: Simplify right side
    723.42x = 675,713.91
  5. Step 5: Solve for x
    x = 675,713.91/723.42
  6. Step 6: Final answer
    x = 934.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.