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Finding the Fourth Proportional to 700.28, 966.43 and 464.07

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Solution

The fourth proportional to 700.28, 966.43 and 464.07 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.28 : 966.43 = 464.07 : x
  2. Step 2: Convert to fraction form
    700.28/966.43 = 464.07/x
  3. Step 3: Cross multiply
    700.28x = 966.43 × 464.07
  4. Step 4: Simplify right side
    700.28x = 448,491.17
  5. Step 5: Solve for x
    x = 448,491.17/700.28
  6. Step 6: Final answer
    x = 640.45

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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.