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Finding the Fourth Proportional to 552.81, 828.68 and 470.73

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Solution

The fourth proportional to 552.81, 828.68 and 470.73 is: 705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.81 : 828.68 = 470.73 : x
  2. Step 2: Convert to fraction form
    552.81/828.68 = 470.73/x
  3. Step 3: Cross multiply
    552.81x = 828.68 × 470.73
  4. Step 4: Simplify right side
    552.81x = 390,082.18
  5. Step 5: Solve for x
    x = 390,082.18/552.81
  6. Step 6: Final answer
    x = 705.64

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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.