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Finding the Fourth Proportional to 1,298.82, 1,790.50 and 925.66

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Solution

The fourth proportional to 1,298.82, 1,790.50 and 925.66 is: 1,276.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.82 : 1,790.50 = 925.66 : x
  2. Step 2: Convert to fraction form
    1,298.82/1,790.50 = 925.66/x
  3. Step 3: Cross multiply
    1,298.82x = 1,790.50 × 925.66
  4. Step 4: Simplify right side
    1,298.82x = 1,657,387.44
  5. Step 5: Solve for x
    x = 1,657,387.44/1,298.82
  6. Step 6: Final answer
    x = 1,276.07

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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.