Home / 1,022.18-1,533.29-291.77

Finding the Fourth Proportional to 1,022.18, 1,533.29 and 291.77

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Solution

The fourth proportional to 1,022.18, 1,533.29 and 291.77 is: 437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.18 : 1,533.29 = 291.77 : x
  2. Step 2: Convert to fraction form
    1,022.18/1,533.29 = 291.77/x
  3. Step 3: Cross multiply
    1,022.18x = 1,533.29 × 291.77
  4. Step 4: Simplify right side
    1,022.18x = 447,366.56
  5. Step 5: Solve for x
    x = 447,366.56/1,022.18
  6. Step 6: Final answer
    x = 437.66

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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.