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Finding the Fourth Proportional to 474.02, 712.06 and 412.51

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Solution

The fourth proportional to 474.02, 712.06 and 412.51 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.02 : 712.06 = 412.51 : x
  2. Step 2: Convert to fraction form
    474.02/712.06 = 412.51/x
  3. Step 3: Cross multiply
    474.02x = 712.06 × 412.51
  4. Step 4: Simplify right side
    474.02x = 293,731.87
  5. Step 5: Solve for x
    x = 293,731.87/474.02
  6. Step 6: Final answer
    x = 619.66

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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.