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Finding the Fourth Proportional to 690.24, 1,034.72 and 257.68

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Solution

The fourth proportional to 690.24, 1,034.72 and 257.68 is: 386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 1,034.72 = 257.68 : x
  2. Step 2: Convert to fraction form
    690.24/1,034.72 = 257.68/x
  3. Step 3: Cross multiply
    690.24x = 1,034.72 × 257.68
  4. Step 4: Simplify right side
    690.24x = 266,626.65
  5. Step 5: Solve for x
    x = 266,626.65/690.24
  6. Step 6: Final answer
    x = 386.28

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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.