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Finding the Fourth Proportional to 474.05, 712.59 and 440.23

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Solution

The fourth proportional to 474.05, 712.59 and 440.23 is: 661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.05 : 712.59 = 440.23 : x
  2. Step 2: Convert to fraction form
    474.05/712.59 = 440.23/x
  3. Step 3: Cross multiply
    474.05x = 712.59 × 440.23
  4. Step 4: Simplify right side
    474.05x = 313,703.50
  5. Step 5: Solve for x
    x = 313,703.50/474.05
  6. Step 6: Final answer
    x = 661.75

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1.5x scale

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.