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Finding the Fourth Proportional to 700.27, 966.67 and 498.51

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Solution

The fourth proportional to 700.27, 966.67 and 498.51 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.27 : 966.67 = 498.51 : x
  2. Step 2: Convert to fraction form
    700.27/966.67 = 498.51/x
  3. Step 3: Cross multiply
    700.27x = 966.67 × 498.51
  4. Step 4: Simplify right side
    700.27x = 481,899.52
  5. Step 5: Solve for x
    x = 481,899.52/700.27
  6. Step 6: Final answer
    x = 688.16

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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.