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Finding the Fourth Proportional to 473.24, 706.48 and 439.40

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Solution

The fourth proportional to 473.24, 706.48 and 439.40 is: 655.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 706.48 = 439.40 : x
  2. Step 2: Convert to fraction form
    473.24/706.48 = 439.40/x
  3. Step 3: Cross multiply
    473.24x = 706.48 × 439.40
  4. Step 4: Simplify right side
    473.24x = 310,427.31
  5. Step 5: Solve for x
    x = 310,427.31/473.24
  6. Step 6: Final answer
    x = 655.96

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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.