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Finding the Fourth Proportional to 474.32, 655.28 and 405.10

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Solution

The fourth proportional to 474.32, 655.28 and 405.10 is: 559.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.32 : 655.28 = 405.10 : x
  2. Step 2: Convert to fraction form
    474.32/655.28 = 405.10/x
  3. Step 3: Cross multiply
    474.32x = 655.28 × 405.10
  4. Step 4: Simplify right side
    474.32x = 265,453.93
  5. Step 5: Solve for x
    x = 265,453.93/474.32
  6. Step 6: Final answer
    x = 559.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.