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Finding the Fourth Proportional to 474.03, 713.90 and 419.87

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Solution

The fourth proportional to 474.03, 713.90 and 419.87 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.03 : 713.90 = 419.87 : x
  2. Step 2: Convert to fraction form
    474.03/713.90 = 419.87/x
  3. Step 3: Cross multiply
    474.03x = 713.90 × 419.87
  4. Step 4: Simplify right side
    474.03x = 299,739.52
  5. Step 5: Solve for x
    x = 299,739.52/474.03
  6. Step 6: Final answer
    x = 632.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.