Home / 1,038.90-1,433.66-596.78

Finding the Fourth Proportional to 1,038.90, 1,433.66 and 596.78

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Solution

The fourth proportional to 1,038.90, 1,433.66 and 596.78 is: 823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.90 : 1,433.66 = 596.78 : x
  2. Step 2: Convert to fraction form
    1,038.90/1,433.66 = 596.78/x
  3. Step 3: Cross multiply
    1,038.90x = 1,433.66 × 596.78
  4. Step 4: Simplify right side
    1,038.90x = 855,569.46
  5. Step 5: Solve for x
    x = 855,569.46/1,038.90
  6. Step 6: Final answer
    x = 823.53

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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.