Home / 1,038.50-1,433.10-596.36

Finding the Fourth Proportional to 1,038.50, 1,433.10 and 596.36

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Solution

The fourth proportional to 1,038.50, 1,433.10 and 596.36 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.50 : 1,433.10 = 596.36 : x
  2. Step 2: Convert to fraction form
    1,038.50/1,433.10 = 596.36/x
  3. Step 3: Cross multiply
    1,038.50x = 1,433.10 × 596.36
  4. Step 4: Simplify right side
    1,038.50x = 854,643.52
  5. Step 5: Solve for x
    x = 854,643.52/1,038.50
  6. Step 6: Final answer
    x = 822.96

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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.