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Finding the Fourth Proportional to 1,185.48, 1,635.66 and 742.86

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Solution

The fourth proportional to 1,185.48, 1,635.66 and 742.86 is: 1,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.48 : 1,635.66 = 742.86 : x
  2. Step 2: Convert to fraction form
    1,185.48/1,635.66 = 742.86/x
  3. Step 3: Cross multiply
    1,185.48x = 1,635.66 × 742.86
  4. Step 4: Simplify right side
    1,185.48x = 1,215,066.39
  5. Step 5: Solve for x
    x = 1,215,066.39/1,185.48
  6. Step 6: Final answer
    x = 1,024.96

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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.