Home / 1,038.23-1,432.62-590.09

Finding the Fourth Proportional to 1,038.23, 1,432.62 and 590.09

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Solution

The fourth proportional to 1,038.23, 1,432.62 and 590.09 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.23 : 1,432.62 = 590.09 : x
  2. Step 2: Convert to fraction form
    1,038.23/1,432.62 = 590.09/x
  3. Step 3: Cross multiply
    1,038.23x = 1,432.62 × 590.09
  4. Step 4: Simplify right side
    1,038.23x = 845,367.57
  5. Step 5: Solve for x
    x = 845,367.57/1,038.23
  6. Step 6: Final answer
    x = 814.24

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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.