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Finding the Fourth Proportional to 699.74, 965.60 and 463.40

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Solution

The fourth proportional to 699.74, 965.60 and 463.40 is: 639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.74 : 965.60 = 463.40 : x
  2. Step 2: Convert to fraction form
    699.74/965.60 = 463.40/x
  3. Step 3: Cross multiply
    699.74x = 965.60 × 463.40
  4. Step 4: Simplify right side
    699.74x = 447,459.04
  5. Step 5: Solve for x
    x = 447,459.04/699.74
  6. Step 6: Final answer
    x = 639.46

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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.