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Finding the Fourth Proportional to 569.31, 784.11 and 535.29

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Solution

The fourth proportional to 569.31, 784.11 and 535.29 is: 737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.31 : 784.11 = 535.29 : x
  2. Step 2: Convert to fraction form
    569.31/784.11 = 535.29/x
  3. Step 3: Cross multiply
    569.31x = 784.11 × 535.29
  4. Step 4: Simplify right side
    569.31x = 419,726.24
  5. Step 5: Solve for x
    x = 419,726.24/569.31
  6. Step 6: Final answer
    x = 737.25

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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.