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Finding the Fourth Proportional to 473.02, 711.59 and 448.40

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Solution

The fourth proportional to 473.02, 711.59 and 448.40 is: 674.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.02 : 711.59 = 448.40 : x
  2. Step 2: Convert to fraction form
    473.02/711.59 = 448.40/x
  3. Step 3: Cross multiply
    473.02x = 711.59 × 448.40
  4. Step 4: Simplify right side
    473.02x = 319,076.49
  5. Step 5: Solve for x
    x = 319,076.49/473.02
  6. Step 6: Final answer
    x = 674.56

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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.