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Finding the Fourth Proportional to 666.07, 998.35 and 340.75

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Solution

The fourth proportional to 666.07, 998.35 and 340.75 is: 510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.07 : 998.35 = 340.75 : x
  2. Step 2: Convert to fraction form
    666.07/998.35 = 340.75/x
  3. Step 3: Cross multiply
    666.07x = 998.35 × 340.75
  4. Step 4: Simplify right side
    666.07x = 340,187.76
  5. Step 5: Solve for x
    x = 340,187.76/666.07
  6. Step 6: Final answer
    x = 510.74

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Why These Related Problems?

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