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Finding the Fourth Proportional to 700.17, 965.52 and 464.31

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Solution

The fourth proportional to 700.17, 965.52 and 464.31 is: 640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.17 : 965.52 = 464.31 : x
  2. Step 2: Convert to fraction form
    700.17/965.52 = 464.31/x
  3. Step 3: Cross multiply
    700.17x = 965.52 × 464.31
  4. Step 4: Simplify right side
    700.17x = 448,300.59
  5. Step 5: Solve for x
    x = 448,300.59/700.17
  6. Step 6: Final answer
    x = 640.27

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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.