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Finding the Fourth Proportional to 713.49, 1,069.65 and 274.65

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Solution

The fourth proportional to 713.49, 1,069.65 and 274.65 is: 411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.49 : 1,069.65 = 274.65 : x
  2. Step 2: Convert to fraction form
    713.49/1,069.65 = 274.65/x
  3. Step 3: Cross multiply
    713.49x = 1,069.65 × 274.65
  4. Step 4: Simplify right side
    713.49x = 293,779.37
  5. Step 5: Solve for x
    x = 293,779.37/713.49
  6. Step 6: Final answer
    x = 411.75

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Double scale
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1.5x scale

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.