Home / 1,022.05-1,531.90-467.16

Finding the Fourth Proportional to 1,022.05, 1,531.90 and 467.16

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Solution

The fourth proportional to 1,022.05, 1,531.90 and 467.16 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.05 : 1,531.90 = 467.16 : x
  2. Step 2: Convert to fraction form
    1,022.05/1,531.90 = 467.16/x
  3. Step 3: Cross multiply
    1,022.05x = 1,531.90 × 467.16
  4. Step 4: Simplify right side
    1,022.05x = 715,642.40
  5. Step 5: Solve for x
    x = 715,642.40/1,022.05
  6. Step 6: Final answer
    x = 700.20

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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.