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Finding the Fourth Proportional to 478.72, 714.68 and 423.68

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Solution

The fourth proportional to 478.72, 714.68 and 423.68 is: 632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.72 : 714.68 = 423.68 : x
  2. Step 2: Convert to fraction form
    478.72/714.68 = 423.68/x
  3. Step 3: Cross multiply
    478.72x = 714.68 × 423.68
  4. Step 4: Simplify right side
    478.72x = 302,795.62
  5. Step 5: Solve for x
    x = 302,795.62/478.72
  6. Step 6: Final answer
    x = 632.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.