Home / 1,038.62-1,433.21-590.49

Finding the Fourth Proportional to 1,038.62, 1,433.21 and 590.49

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Solution

The fourth proportional to 1,038.62, 1,433.21 and 590.49 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.62 : 1,433.21 = 590.49 : x
  2. Step 2: Convert to fraction form
    1,038.62/1,433.21 = 590.49/x
  3. Step 3: Cross multiply
    1,038.62x = 1,433.21 × 590.49
  4. Step 4: Simplify right side
    1,038.62x = 846,293.22
  5. Step 5: Solve for x
    x = 846,293.22/1,038.62
  6. Step 6: Final answer
    x = 814.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.