Home / 1,664.46-2,496.65-510.21

Finding the Fourth Proportional to 1,664.46, 2,496.65 and 510.21

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Solution

The fourth proportional to 1,664.46, 2,496.65 and 510.21 is: 765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.46 : 2,496.65 = 510.21 : x
  2. Step 2: Convert to fraction form
    1,664.46/2,496.65 = 510.21/x
  3. Step 3: Cross multiply
    1,664.46x = 2,496.65 × 510.21
  4. Step 4: Simplify right side
    1,664.46x = 1,273,813.25
  5. Step 5: Solve for x
    x = 1,273,813.25/1,664.46
  6. Step 6: Final answer
    x = 765.30

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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.