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Finding the Fourth Proportional to 1,009.15, 1,392.61 and 567.14

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Solution

The fourth proportional to 1,009.15, 1,392.61 and 567.14 is: 782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.15 : 1,392.61 = 567.14 : x
  2. Step 2: Convert to fraction form
    1,009.15/1,392.61 = 567.14/x
  3. Step 3: Cross multiply
    1,009.15x = 1,392.61 × 567.14
  4. Step 4: Simplify right side
    1,009.15x = 789,804.84
  5. Step 5: Solve for x
    x = 789,804.84/1,009.15
  6. Step 6: Final answer
    x = 782.64

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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.