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Finding the Fourth Proportional to 1,670.80, 2,305.64 and 924.73

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Solution

The fourth proportional to 1,670.80, 2,305.64 and 924.73 is: 1,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.80 : 2,305.64 = 924.73 : x
  2. Step 2: Convert to fraction form
    1,670.80/2,305.64 = 924.73/x
  3. Step 3: Cross multiply
    1,670.80x = 2,305.64 × 924.73
  4. Step 4: Simplify right side
    1,670.80x = 2,132,085.26
  5. Step 5: Solve for x
    x = 2,132,085.26/1,670.80
  6. Step 6: Final answer
    x = 1,276.09

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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.