Home / 1,038.30-1,432.80-590.11

Finding the Fourth Proportional to 1,038.30, 1,432.80 and 590.11

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Solution

The fourth proportional to 1,038.30, 1,432.80 and 590.11 is: 814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.30 : 1,432.80 = 590.11 : x
  2. Step 2: Convert to fraction form
    1,038.30/1,432.80 = 590.11/x
  3. Step 3: Cross multiply
    1,038.30x = 1,432.80 × 590.11
  4. Step 4: Simplify right side
    1,038.30x = 845,499.49
  5. Step 5: Solve for x
    x = 845,499.49/1,038.30
  6. Step 6: Final answer
    x = 814.32

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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.