Home / 1,086.28-1,629.95-470.16

Finding the Fourth Proportional to 1,086.28, 1,629.95 and 470.16

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Solution

The fourth proportional to 1,086.28, 1,629.95 and 470.16 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.28 : 1,629.95 = 470.16 : x
  2. Step 2: Convert to fraction form
    1,086.28/1,629.95 = 470.16/x
  3. Step 3: Cross multiply
    1,086.28x = 1,629.95 × 470.16
  4. Step 4: Simplify right side
    1,086.28x = 766,334.94
  5. Step 5: Solve for x
    x = 766,334.94/1,086.28
  6. Step 6: Final answer
    x = 705.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.