Home / 1,022.17-1,532.13-501.79

Finding the Fourth Proportional to 1,022.17, 1,532.13 and 501.79

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Solution

The fourth proportional to 1,022.17, 1,532.13 and 501.79 is: 752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.17 : 1,532.13 = 501.79 : x
  2. Step 2: Convert to fraction form
    1,022.17/1,532.13 = 501.79/x
  3. Step 3: Cross multiply
    1,022.17x = 1,532.13 × 501.79
  4. Step 4: Simplify right side
    1,022.17x = 768,807.51
  5. Step 5: Solve for x
    x = 768,807.51/1,022.17
  6. Step 6: Final answer
    x = 752.13

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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.