Home / 1,510.40-2,266.50-537.32

Finding the Fourth Proportional to 1,510.40, 2,266.50 and 537.32

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Solution

The fourth proportional to 1,510.40, 2,266.50 and 537.32 is: 806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.40 : 2,266.50 = 537.32 : x
  2. Step 2: Convert to fraction form
    1,510.40/2,266.50 = 537.32/x
  3. Step 3: Cross multiply
    1,510.40x = 2,266.50 × 537.32
  4. Step 4: Simplify right side
    1,510.40x = 1,217,835.78
  5. Step 5: Solve for x
    x = 1,217,835.78/1,510.40
  6. Step 6: Final answer
    x = 806.30

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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.