Home / 1,478.40-2,214.18-900.24

Finding the Fourth Proportional to 1,478.40, 2,214.18 and 900.24

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Solution

The fourth proportional to 1,478.40, 2,214.18 and 900.24 is: 1,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.40 : 2,214.18 = 900.24 : x
  2. Step 2: Convert to fraction form
    1,478.40/2,214.18 = 900.24/x
  3. Step 3: Cross multiply
    1,478.40x = 2,214.18 × 900.24
  4. Step 4: Simplify right side
    1,478.40x = 1,993,293.40
  5. Step 5: Solve for x
    x = 1,993,293.40/1,478.40
  6. Step 6: Final answer
    x = 1,348.28

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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.