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Finding the Fourth Proportional to 474.28, 709.59 and 473.06

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Solution

The fourth proportional to 474.28, 709.59 and 473.06 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.28 : 709.59 = 473.06 : x
  2. Step 2: Convert to fraction form
    474.28/709.59 = 473.06/x
  3. Step 3: Cross multiply
    474.28x = 709.59 × 473.06
  4. Step 4: Simplify right side
    474.28x = 335,678.65
  5. Step 5: Solve for x
    x = 335,678.65/474.28
  6. Step 6: Final answer
    x = 707.76

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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.