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Finding the Fourth Proportional to 1,038.80, 1,433.50 and 596.69

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Solution

The fourth proportional to 1,038.80, 1,433.50 and 596.69 is: 823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.80 : 1,433.50 = 596.69 : x
  2. Step 2: Convert to fraction form
    1,038.80/1,433.50 = 596.69/x
  3. Step 3: Cross multiply
    1,038.80x = 1,433.50 × 596.69
  4. Step 4: Simplify right side
    1,038.80x = 855,344.96
  5. Step 5: Solve for x
    x = 855,344.96/1,038.80
  6. Step 6: Final answer
    x = 823.40

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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.