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Finding the Fourth Proportional to 921.80, 1,272.50 and 590.68

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Solution

The fourth proportional to 921.80, 1,272.50 and 590.68 is: 815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.80 : 1,272.50 = 590.68 : x
  2. Step 2: Convert to fraction form
    921.80/1,272.50 = 590.68/x
  3. Step 3: Cross multiply
    921.80x = 1,272.50 × 590.68
  4. Step 4: Simplify right side
    921.80x = 751,640.30
  5. Step 5: Solve for x
    x = 751,640.30/921.80
  6. Step 6: Final answer
    x = 815.40

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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.