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Finding the Fourth Proportional to 569.42, 858.89 and 535.70

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Solution

The fourth proportional to 569.42, 858.89 and 535.70 is: 808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.42 : 858.89 = 535.70 : x
  2. Step 2: Convert to fraction form
    569.42/858.89 = 535.70/x
  3. Step 3: Cross multiply
    569.42x = 858.89 × 535.70
  4. Step 4: Simplify right side
    569.42x = 460,107.37
  5. Step 5: Solve for x
    x = 460,107.37/569.42
  6. Step 6: Final answer
    x = 808.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.