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Finding the Fourth Proportional to 424.96, 586.41 and 300.69

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Solution

The fourth proportional to 424.96, 586.41 and 300.69 is: 414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.96 : 586.41 = 300.69 : x
  2. Step 2: Convert to fraction form
    424.96/586.41 = 300.69/x
  3. Step 3: Cross multiply
    424.96x = 586.41 × 300.69
  4. Step 4: Simplify right side
    424.96x = 176,326.50
  5. Step 5: Solve for x
    x = 176,326.50/424.96
  6. Step 6: Final answer
    x = 414.93

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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.