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Finding the Fourth Proportional to 600.78, 829.74 and 535.17

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Solution

The fourth proportional to 600.78, 829.74 and 535.17 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.78 : 829.74 = 535.17 : x
  2. Step 2: Convert to fraction form
    600.78/829.74 = 535.17/x
  3. Step 3: Cross multiply
    600.78x = 829.74 × 535.17
  4. Step 4: Simplify right side
    600.78x = 444,051.96
  5. Step 5: Solve for x
    x = 444,051.96/600.78
  6. Step 6: Final answer
    x = 739.13

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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.