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Finding the Fourth Proportional to 700.48, 966.64 and 389.92

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Solution

The fourth proportional to 700.48, 966.64 and 389.92 is: 538.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.48 : 966.64 = 389.92 : x
  2. Step 2: Convert to fraction form
    700.48/966.64 = 389.92/x
  3. Step 3: Cross multiply
    700.48x = 966.64 × 389.92
  4. Step 4: Simplify right side
    700.48x = 376,912.27
  5. Step 5: Solve for x
    x = 376,912.27/700.48
  6. Step 6: Final answer
    x = 538.08

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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.