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Finding the Fourth Proportional to 426.06, 592.04 and 421.61

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Solution

The fourth proportional to 426.06, 592.04 and 421.61 is: 585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.06 : 592.04 = 421.61 : x
  2. Step 2: Convert to fraction form
    426.06/592.04 = 421.61/x
  3. Step 3: Cross multiply
    426.06x = 592.04 × 421.61
  4. Step 4: Simplify right side
    426.06x = 249,608.08
  5. Step 5: Solve for x
    x = 249,608.08/426.06
  6. Step 6: Final answer
    x = 585.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.