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Finding the Fourth Proportional to 551.39, 828.30 and 471.20

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Solution

The fourth proportional to 551.39, 828.30 and 471.20 is: 707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.39 : 828.30 = 471.20 : x
  2. Step 2: Convert to fraction form
    551.39/828.30 = 471.20/x
  3. Step 3: Cross multiply
    551.39x = 828.30 × 471.20
  4. Step 4: Simplify right side
    551.39x = 390,294.96
  5. Step 5: Solve for x
    x = 390,294.96/551.39
  6. Step 6: Final answer
    x = 707.84

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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.