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Finding the Fourth Proportional to 766.11, 1,056.25 and 626.08

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Solution

The fourth proportional to 766.11, 1,056.25 and 626.08 is: 863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.11 : 1,056.25 = 626.08 : x
  2. Step 2: Convert to fraction form
    766.11/1,056.25 = 626.08/x
  3. Step 3: Cross multiply
    766.11x = 1,056.25 × 626.08
  4. Step 4: Simplify right side
    766.11x = 661,297
  5. Step 5: Solve for x
    x = 661,297/766.11
  6. Step 6: Final answer
    x = 863.19

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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.