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Finding the Fourth Proportional to 426.15, 586.38 and 384.75

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Solution

The fourth proportional to 426.15, 586.38 and 384.75 is: 529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.15 : 586.38 = 384.75 : x
  2. Step 2: Convert to fraction form
    426.15/586.38 = 384.75/x
  3. Step 3: Cross multiply
    426.15x = 586.38 × 384.75
  4. Step 4: Simplify right side
    426.15x = 225,609.71
  5. Step 5: Solve for x
    x = 225,609.71/426.15
  6. Step 6: Final answer
    x = 529.41

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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.