Home / 1,022.10-1,533.12-372.90

Finding the Fourth Proportional to 1,022.10, 1,533.12 and 372.90

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Solution

The fourth proportional to 1,022.10, 1,533.12 and 372.90 is: 559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.10 : 1,533.12 = 372.90 : x
  2. Step 2: Convert to fraction form
    1,022.10/1,533.12 = 372.90/x
  3. Step 3: Cross multiply
    1,022.10x = 1,533.12 × 372.90
  4. Step 4: Simplify right side
    1,022.10x = 571,700.45
  5. Step 5: Solve for x
    x = 571,700.45/1,022.10
  6. Step 6: Final answer
    x = 559.34

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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.