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Finding the Fourth Proportional to 699.12, 964.80 and 463.47

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Solution

The fourth proportional to 699.12, 964.80 and 463.47 is: 639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.12 : 964.80 = 463.47 : x
  2. Step 2: Convert to fraction form
    699.12/964.80 = 463.47/x
  3. Step 3: Cross multiply
    699.12x = 964.80 × 463.47
  4. Step 4: Simplify right side
    699.12x = 447,155.86
  5. Step 5: Solve for x
    x = 447,155.86/699.12
  6. Step 6: Final answer
    x = 639.60

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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.