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Finding the Fourth Proportional to 1,207.76, 1,811.70 and 342

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Solution

The fourth proportional to 1,207.76, 1,811.70 and 342 is: 513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.76 : 1,811.70 = 342 : x
  2. Step 2: Convert to fraction form
    1,207.76/1,811.70 = 342/x
  3. Step 3: Cross multiply
    1,207.76x = 1,811.70 × 342
  4. Step 4: Simplify right side
    1,207.76x = 619,601.40
  5. Step 5: Solve for x
    x = 619,601.40/1,207.76
  6. Step 6: Final answer
    x = 513.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.