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Finding the Fourth Proportional to 718.65, 1,077.75 and 256.37

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Solution

The fourth proportional to 718.65, 1,077.75 and 256.37 is: 384.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.65 : 1,077.75 = 256.37 : x
  2. Step 2: Convert to fraction form
    718.65/1,077.75 = 256.37/x
  3. Step 3: Cross multiply
    718.65x = 1,077.75 × 256.37
  4. Step 4: Simplify right side
    718.65x = 276,297.38
  5. Step 5: Solve for x
    x = 276,297.38/718.65
  6. Step 6: Final answer
    x = 384.47

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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.