Home / 1,038.60-1,433.40-596.46

Finding the Fourth Proportional to 1,038.60, 1,433.40 and 596.46

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Solution

The fourth proportional to 1,038.60, 1,433.40 and 596.46 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.60 : 1,433.40 = 596.46 : x
  2. Step 2: Convert to fraction form
    1,038.60/1,433.40 = 596.46/x
  3. Step 3: Cross multiply
    1,038.60x = 1,433.40 × 596.46
  4. Step 4: Simplify right side
    1,038.60x = 854,965.76
  5. Step 5: Solve for x
    x = 854,965.76/1,038.60
  6. Step 6: Final answer
    x = 823.19

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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.