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Finding the Fourth Proportional to 1,234.79, 1,704.39 and 711.17

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Solution

The fourth proportional to 1,234.79, 1,704.39 and 711.17 is: 981.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.79 : 1,704.39 = 711.17 : x
  2. Step 2: Convert to fraction form
    1,234.79/1,704.39 = 711.17/x
  3. Step 3: Cross multiply
    1,234.79x = 1,704.39 × 711.17
  4. Step 4: Simplify right side
    1,234.79x = 1,212,111.04
  5. Step 5: Solve for x
    x = 1,212,111.04/1,234.79
  6. Step 6: Final answer
    x = 981.63

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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.