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Finding the Fourth Proportional to 1,025.71, 1,417.28 and 806.40

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Solution

The fourth proportional to 1,025.71, 1,417.28 and 806.40 is: 1,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.71 : 1,417.28 = 806.40 : x
  2. Step 2: Convert to fraction form
    1,025.71/1,417.28 = 806.40/x
  3. Step 3: Cross multiply
    1,025.71x = 1,417.28 × 806.40
  4. Step 4: Simplify right side
    1,025.71x = 1,142,890.56
  5. Step 5: Solve for x
    x = 1,142,890.56/1,025.71
  6. Step 6: Final answer
    x = 1,114.25

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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.