Home / 1,022.84-1,532.34-510.20

Finding the Fourth Proportional to 1,022.84, 1,532.34 and 510.20

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Solution

The fourth proportional to 1,022.84, 1,532.34 and 510.20 is: 764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.84 : 1,532.34 = 510.20 : x
  2. Step 2: Convert to fraction form
    1,022.84/1,532.34 = 510.20/x
  3. Step 3: Cross multiply
    1,022.84x = 1,532.34 × 510.20
  4. Step 4: Simplify right side
    1,022.84x = 781,799.87
  5. Step 5: Solve for x
    x = 781,799.87/1,022.84
  6. Step 6: Final answer
    x = 764.34

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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.