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Finding the Fourth Proportional to 474.24, 707.97 and 440.40

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Solution

The fourth proportional to 474.24, 707.97 and 440.40 is: 657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.24 : 707.97 = 440.40 : x
  2. Step 2: Convert to fraction form
    474.24/707.97 = 440.40/x
  3. Step 3: Cross multiply
    474.24x = 707.97 × 440.40
  4. Step 4: Simplify right side
    474.24x = 311,789.99
  5. Step 5: Solve for x
    x = 311,789.99/474.24
  6. Step 6: Final answer
    x = 657.45

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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.