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Finding the Fourth Proportional to 696.31, 962.18 and 463.75

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Solution

The fourth proportional to 696.31, 962.18 and 463.75 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.31 : 962.18 = 463.75 : x
  2. Step 2: Convert to fraction form
    696.31/962.18 = 463.75/x
  3. Step 3: Cross multiply
    696.31x = 962.18 × 463.75
  4. Step 4: Simplify right side
    696.31x = 446,208.66
  5. Step 5: Solve for x
    x = 446,208.66/696.31
  6. Step 6: Final answer
    x = 640.82

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1.5x scale

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.