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Finding the Fourth Proportional to 478.56, 714.48 and 433.20

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Solution

The fourth proportional to 478.56, 714.48 and 433.20 is: 646.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.56 : 714.48 = 433.20 : x
  2. Step 2: Convert to fraction form
    478.56/714.48 = 433.20/x
  3. Step 3: Cross multiply
    478.56x = 714.48 × 433.20
  4. Step 4: Simplify right side
    478.56x = 309,512.74
  5. Step 5: Solve for x
    x = 309,512.74/478.56
  6. Step 6: Final answer
    x = 646.76

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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.