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Finding the Fourth Proportional to 1,510.82, 2,266.29 and 537.02

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Solution

The fourth proportional to 1,510.82, 2,266.29 and 537.02 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.82 : 2,266.29 = 537.02 : x
  2. Step 2: Convert to fraction form
    1,510.82/2,266.29 = 537.02/x
  3. Step 3: Cross multiply
    1,510.82x = 2,266.29 × 537.02
  4. Step 4: Simplify right side
    1,510.82x = 1,217,043.06
  5. Step 5: Solve for x
    x = 1,217,043.06/1,510.82
  6. Step 6: Final answer
    x = 805.55

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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.