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Finding the Fourth Proportional to 478.57, 714.59 and 428.84

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Solution

The fourth proportional to 478.57, 714.59 and 428.84 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.57 : 714.59 = 428.84 : x
  2. Step 2: Convert to fraction form
    478.57/714.59 = 428.84/x
  3. Step 3: Cross multiply
    478.57x = 714.59 × 428.84
  4. Step 4: Simplify right side
    478.57x = 306,444.78
  5. Step 5: Solve for x
    x = 306,444.78/478.57
  6. Step 6: Final answer
    x = 640.33

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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.