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Finding the Fourth Proportional to 473.55, 711.84 and 439.74

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Solution

The fourth proportional to 473.55, 711.84 and 439.74 is: 661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.55 : 711.84 = 439.74 : x
  2. Step 2: Convert to fraction form
    473.55/711.84 = 439.74/x
  3. Step 3: Cross multiply
    473.55x = 711.84 × 439.74
  4. Step 4: Simplify right side
    473.55x = 313,024.52
  5. Step 5: Solve for x
    x = 313,024.52/473.55
  6. Step 6: Final answer
    x = 661.02

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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.