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Finding the Fourth Proportional to 426.81, 589.04 and 295.59

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Solution

The fourth proportional to 426.81, 589.04 and 295.59 is: 407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.81 : 589.04 = 295.59 : x
  2. Step 2: Convert to fraction form
    426.81/589.04 = 295.59/x
  3. Step 3: Cross multiply
    426.81x = 589.04 × 295.59
  4. Step 4: Simplify right side
    426.81x = 174,116.17
  5. Step 5: Solve for x
    x = 174,116.17/426.81
  6. Step 6: Final answer
    x = 407.94

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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.