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Finding the Fourth Proportional to 1,038.40, 1,433.04 and 596.44

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Solution

The fourth proportional to 1,038.40, 1,433.04 and 596.44 is: 823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.40 : 1,433.04 = 596.44 : x
  2. Step 2: Convert to fraction form
    1,038.40/1,433.04 = 596.44/x
  3. Step 3: Cross multiply
    1,038.40x = 1,433.04 × 596.44
  4. Step 4: Simplify right side
    1,038.40x = 854,722.38
  5. Step 5: Solve for x
    x = 854,722.38/1,038.40
  6. Step 6: Final answer
    x = 823.11

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1.5x scale

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.