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Finding the Fourth Proportional to 474.28, 650.93 and 435.40

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Solution

The fourth proportional to 474.28, 650.93 and 435.40 is: 597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.28 : 650.93 = 435.40 : x
  2. Step 2: Convert to fraction form
    474.28/650.93 = 435.40/x
  3. Step 3: Cross multiply
    474.28x = 650.93 × 435.40
  4. Step 4: Simplify right side
    474.28x = 283,414.92
  5. Step 5: Solve for x
    x = 283,414.92/474.28
  6. Step 6: Final answer
    x = 597.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.