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Finding the Fourth Proportional to 1,151.74, 1,590.87 and 803.98

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Solution

The fourth proportional to 1,151.74, 1,590.87 and 803.98 is: 1,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.74 : 1,590.87 = 803.98 : x
  2. Step 2: Convert to fraction form
    1,151.74/1,590.87 = 803.98/x
  3. Step 3: Cross multiply
    1,151.74x = 1,590.87 × 803.98
  4. Step 4: Simplify right side
    1,151.74x = 1,279,027.66
  5. Step 5: Solve for x
    x = 1,279,027.66/1,151.74
  6. Step 6: Final answer
    x = 1,110.52

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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.