Home / 1,470.11-2,205.31-496.28

Finding the Fourth Proportional to 1,470.11, 2,205.31 and 496.28

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Solution

The fourth proportional to 1,470.11, 2,205.31 and 496.28 is: 744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.11 : 2,205.31 = 496.28 : x
  2. Step 2: Convert to fraction form
    1,470.11/2,205.31 = 496.28/x
  3. Step 3: Cross multiply
    1,470.11x = 2,205.31 × 496.28
  4. Step 4: Simplify right side
    1,470.11x = 1,094,455.52
  5. Step 5: Solve for x
    x = 1,094,455.52/1,470.11
  6. Step 6: Final answer
    x = 744.47

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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.