Home / 1,038.83-1,433.40-596.57

Finding the Fourth Proportional to 1,038.83, 1,433.40 and 596.57

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Solution

The fourth proportional to 1,038.83, 1,433.40 and 596.57 is: 823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.83 : 1,433.40 = 596.57 : x
  2. Step 2: Convert to fraction form
    1,038.83/1,433.40 = 596.57/x
  3. Step 3: Cross multiply
    1,038.83x = 1,433.40 × 596.57
  4. Step 4: Simplify right side
    1,038.83x = 855,114.03
  5. Step 5: Solve for x
    x = 855,114.03/1,038.83
  6. Step 6: Final answer
    x = 823.16

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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.