Home / 1,464.70-2,021.28-905.04

Finding the Fourth Proportional to 1,464.70, 2,021.28 and 905.04

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Solution

The fourth proportional to 1,464.70, 2,021.28 and 905.04 is: 1,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.70 : 2,021.28 = 905.04 : x
  2. Step 2: Convert to fraction form
    1,464.70/2,021.28 = 905.04/x
  3. Step 3: Cross multiply
    1,464.70x = 2,021.28 × 905.04
  4. Step 4: Simplify right side
    1,464.70x = 1,829,339.25
  5. Step 5: Solve for x
    x = 1,829,339.25/1,464.70
  6. Step 6: Final answer
    x = 1,248.95

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1.5x scale

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.