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Finding the Fourth Proportional to 922.15, 1,272.51 and 590.67

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Solution

The fourth proportional to 922.15, 1,272.51 and 590.67 is: 815.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.15 : 1,272.51 = 590.67 : x
  2. Step 2: Convert to fraction form
    922.15/1,272.51 = 590.67/x
  3. Step 3: Cross multiply
    922.15x = 1,272.51 × 590.67
  4. Step 4: Simplify right side
    922.15x = 751,633.48
  5. Step 5: Solve for x
    x = 751,633.48/922.15
  6. Step 6: Final answer
    x = 815.09

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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.