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Finding the Fourth Proportional to 1,036.98, 1,431.09 and 594.90

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Solution

The fourth proportional to 1,036.98, 1,431.09 and 594.90 is: 821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.98 : 1,431.09 = 594.90 : x
  2. Step 2: Convert to fraction form
    1,036.98/1,431.09 = 594.90/x
  3. Step 3: Cross multiply
    1,036.98x = 1,431.09 × 594.90
  4. Step 4: Simplify right side
    1,036.98x = 851,355.44
  5. Step 5: Solve for x
    x = 851,355.44/1,036.98
  6. Step 6: Final answer
    x = 821.00

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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.