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Finding the Fourth Proportional to 474.76, 712.86 and 421

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Solution

The fourth proportional to 474.76, 712.86 and 421 is: 632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.76 : 712.86 = 421 : x
  2. Step 2: Convert to fraction form
    474.76/712.86 = 421/x
  3. Step 3: Cross multiply
    474.76x = 712.86 × 421
  4. Step 4: Simplify right side
    474.76x = 300,114.06
  5. Step 5: Solve for x
    x = 300,114.06/474.76
  6. Step 6: Final answer
    x = 632.14

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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.