Home / 1,466.40-2,023.20-907.28

Finding the Fourth Proportional to 1,466.40, 2,023.20 and 907.28

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Solution

The fourth proportional to 1,466.40, 2,023.20 and 907.28 is: 1,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.40 : 2,023.20 = 907.28 : x
  2. Step 2: Convert to fraction form
    1,466.40/2,023.20 = 907.28/x
  3. Step 3: Cross multiply
    1,466.40x = 2,023.20 × 907.28
  4. Step 4: Simplify right side
    1,466.40x = 1,835,608.90
  5. Step 5: Solve for x
    x = 1,835,608.90/1,466.40
  6. Step 6: Final answer
    x = 1,251.78

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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.