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Finding the Fourth Proportional to 1,510.82, 2,266.20 and 415.20

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Solution

The fourth proportional to 1,510.82, 2,266.20 and 415.20 is: 622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.82 : 2,266.20 = 415.20 : x
  2. Step 2: Convert to fraction form
    1,510.82/2,266.20 = 415.20/x
  3. Step 3: Cross multiply
    1,510.82x = 2,266.20 × 415.20
  4. Step 4: Simplify right side
    1,510.82x = 940,926.24
  5. Step 5: Solve for x
    x = 940,926.24/1,510.82
  6. Step 6: Final answer
    x = 622.79

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1.5x scale

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.