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Finding the Fourth Proportional to 712.91, 1,069.18 and 274.07

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Solution

The fourth proportional to 712.91, 1,069.18 and 274.07 is: 411.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.91 : 1,069.18 = 274.07 : x
  2. Step 2: Convert to fraction form
    712.91/1,069.18 = 274.07/x
  3. Step 3: Cross multiply
    712.91x = 1,069.18 × 274.07
  4. Step 4: Simplify right side
    712.91x = 293,030.16
  5. Step 5: Solve for x
    x = 293,030.16/712.91
  6. Step 6: Final answer
    x = 411.03

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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.