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Finding the Fourth Proportional to 569.76, 850.17 and 534.93

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Solution

The fourth proportional to 569.76, 850.17 and 534.93 is: 798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.76 : 850.17 = 534.93 : x
  2. Step 2: Convert to fraction form
    569.76/850.17 = 534.93/x
  3. Step 3: Cross multiply
    569.76x = 850.17 × 534.93
  4. Step 4: Simplify right side
    569.76x = 454,786.63
  5. Step 5: Solve for x
    x = 454,786.63/569.76
  6. Step 6: Final answer
    x = 798.20

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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.