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Finding the Fourth Proportional to 922.56, 1,271.98 and 590.44

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Solution

The fourth proportional to 922.56, 1,271.98 and 590.44 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.56 : 1,271.98 = 590.44 : x
  2. Step 2: Convert to fraction form
    922.56/1,271.98 = 590.44/x
  3. Step 3: Cross multiply
    922.56x = 1,271.98 × 590.44
  4. Step 4: Simplify right side
    922.56x = 751,027.87
  5. Step 5: Solve for x
    x = 751,027.87/922.56
  6. Step 6: Final answer
    x = 814.07

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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.