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Finding the Fourth Proportional to 1,009.43, 1,392.94 and 567.25

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Solution

The fourth proportional to 1,009.43, 1,392.94 and 567.25 is: 782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.43 : 1,392.94 = 567.25 : x
  2. Step 2: Convert to fraction form
    1,009.43/1,392.94 = 567.25/x
  3. Step 3: Cross multiply
    1,009.43x = 1,392.94 × 567.25
  4. Step 4: Simplify right side
    1,009.43x = 790,136.83
  5. Step 5: Solve for x
    x = 790,136.83/1,009.43
  6. Step 6: Final answer
    x = 782.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.