Home / 1,022.10-1,533.17-291.69

Finding the Fourth Proportional to 1,022.10, 1,533.17 and 291.69

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Solution

The fourth proportional to 1,022.10, 1,533.17 and 291.69 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,533.17 = 291.69 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,533.17 = 291.69/x
  3. Step 3: Cross multiply
    1,022.10x = 1,533.17 × 291.69
  4. Step 4: Simplify right side
    1,022.10x = 447,214.58
  5. Step 5: Solve for x
    x = 447,214.58/1,022.10
  6. Step 6: Final answer
    x = 437.54

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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.