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Finding the Fourth Proportional to 1,353.18, 1,867.23 and 763.66

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Solution

The fourth proportional to 1,353.18, 1,867.23 and 763.66 is: 1,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.18 : 1,867.23 = 763.66 : x
  2. Step 2: Convert to fraction form
    1,353.18/1,867.23 = 763.66/x
  3. Step 3: Cross multiply
    1,353.18x = 1,867.23 × 763.66
  4. Step 4: Simplify right side
    1,353.18x = 1,425,924.19
  5. Step 5: Solve for x
    x = 1,425,924.19/1,353.18
  6. Step 6: Final answer
    x = 1,053.76

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1.5x scale

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.