Home / 1,470.21-2,205.24-496.30

Finding the Fourth Proportional to 1,470.21, 2,205.24 and 496.30

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Solution

The fourth proportional to 1,470.21, 2,205.24 and 496.30 is: 744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.21 : 2,205.24 = 496.30 : x
  2. Step 2: Convert to fraction form
    1,470.21/2,205.24 = 496.30/x
  3. Step 3: Cross multiply
    1,470.21x = 2,205.24 × 496.30
  4. Step 4: Simplify right side
    1,470.21x = 1,094,460.61
  5. Step 5: Solve for x
    x = 1,094,460.61/1,470.21
  6. Step 6: Final answer
    x = 744.42

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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.