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Finding the Fourth Proportional to 1,011.31, 1,395.54 and 569.27

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Solution

The fourth proportional to 1,011.31, 1,395.54 and 569.27 is: 785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.31 : 1,395.54 = 569.27 : x
  2. Step 2: Convert to fraction form
    1,011.31/1,395.54 = 569.27/x
  3. Step 3: Cross multiply
    1,011.31x = 1,395.54 × 569.27
  4. Step 4: Simplify right side
    1,011.31x = 794,442.54
  5. Step 5: Solve for x
    x = 794,442.54/1,011.31
  6. Step 6: Final answer
    x = 785.56

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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.