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Finding the Fourth Proportional to 622.25, 856.91 and 533.38

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Solution

The fourth proportional to 622.25, 856.91 and 533.38 is: 734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.25 : 856.91 = 533.38 : x
  2. Step 2: Convert to fraction form
    622.25/856.91 = 533.38/x
  3. Step 3: Cross multiply
    622.25x = 856.91 × 533.38
  4. Step 4: Simplify right side
    622.25x = 457,058.66
  5. Step 5: Solve for x
    x = 457,058.66/622.25
  6. Step 6: Final answer
    x = 734.53

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1.5x scale

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.