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Finding the Fourth Proportional to 1,009.64, 1,393.31 and 561.52

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Solution

The fourth proportional to 1,009.64, 1,393.31 and 561.52 is: 774.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.64 : 1,393.31 = 561.52 : x
  2. Step 2: Convert to fraction form
    1,009.64/1,393.31 = 561.52/x
  3. Step 3: Cross multiply
    1,009.64x = 1,393.31 × 561.52
  4. Step 4: Simplify right side
    1,009.64x = 782,371.43
  5. Step 5: Solve for x
    x = 782,371.43/1,009.64
  6. Step 6: Final answer
    x = 774.90

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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.