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Finding the Fourth Proportional to 1,011.49, 1,395.88 and 563.37

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Solution

The fourth proportional to 1,011.49, 1,395.88 and 563.37 is: 777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.49 : 1,395.88 = 563.37 : x
  2. Step 2: Convert to fraction form
    1,011.49/1,395.88 = 563.37/x
  3. Step 3: Cross multiply
    1,011.49x = 1,395.88 × 563.37
  4. Step 4: Simplify right side
    1,011.49x = 786,398.92
  5. Step 5: Solve for x
    x = 786,398.92/1,011.49
  6. Step 6: Final answer
    x = 777.46

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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.