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Finding the Fourth Proportional to 467.68, 643.69 and 374.13

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Solution

The fourth proportional to 467.68, 643.69 and 374.13 is: 514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 643.69 = 374.13 : x
  2. Step 2: Convert to fraction form
    467.68/643.69 = 374.13/x
  3. Step 3: Cross multiply
    467.68x = 643.69 × 374.13
  4. Step 4: Simplify right side
    467.68x = 240,823.74
  5. Step 5: Solve for x
    x = 240,823.74/467.68
  6. Step 6: Final answer
    x = 514.93

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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.