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Finding the Fourth Proportional to 595.76, 894.19 and 421.93

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Solution

The fourth proportional to 595.76, 894.19 and 421.93 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.76 : 894.19 = 421.93 : x
  2. Step 2: Convert to fraction form
    595.76/894.19 = 421.93/x
  3. Step 3: Cross multiply
    595.76x = 894.19 × 421.93
  4. Step 4: Simplify right side
    595.76x = 377,281.41
  5. Step 5: Solve for x
    x = 377,281.41/595.76
  6. Step 6: Final answer
    x = 633.28

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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.