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Finding the Fourth Proportional to 622.08, 929.71 and 535.95

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Solution

The fourth proportional to 622.08, 929.71 and 535.95 is: 800.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.08 : 929.71 = 535.95 : x
  2. Step 2: Convert to fraction form
    622.08/929.71 = 535.95/x
  3. Step 3: Cross multiply
    622.08x = 929.71 × 535.95
  4. Step 4: Simplify right side
    622.08x = 498,278.74
  5. Step 5: Solve for x
    x = 498,278.74/622.08
  6. Step 6: Final answer
    x = 800.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.