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Finding the Fourth Proportional to 426.72, 589.32 and 360.48

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Solution

The fourth proportional to 426.72, 589.32 and 360.48 is: 497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.72 : 589.32 = 360.48 : x
  2. Step 2: Convert to fraction form
    426.72/589.32 = 360.48/x
  3. Step 3: Cross multiply
    426.72x = 589.32 × 360.48
  4. Step 4: Simplify right side
    426.72x = 212,438.07
  5. Step 5: Solve for x
    x = 212,438.07/426.72
  6. Step 6: Final answer
    x = 497.84

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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.