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Finding the Fourth Proportional to 594.80, 892.74 and 421.53

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Solution

The fourth proportional to 594.80, 892.74 and 421.53 is: 632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.80 : 892.74 = 421.53 : x
  2. Step 2: Convert to fraction form
    594.80/892.74 = 421.53/x
  3. Step 3: Cross multiply
    594.80x = 892.74 × 421.53
  4. Step 4: Simplify right side
    594.80x = 376,316.69
  5. Step 5: Solve for x
    x = 376,316.69/594.80
  6. Step 6: Final answer
    x = 632.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.