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Finding the Fourth Proportional to 595.68, 891.96 and 421.41

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Solution

The fourth proportional to 595.68, 891.96 and 421.41 is: 631.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.68 : 891.96 = 421.41 : x
  2. Step 2: Convert to fraction form
    595.68/891.96 = 421.41/x
  3. Step 3: Cross multiply
    595.68x = 891.96 × 421.41
  4. Step 4: Simplify right side
    595.68x = 375,880.86
  5. Step 5: Solve for x
    x = 375,880.86/595.68
  6. Step 6: Final answer
    x = 631.01

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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.