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Finding the Fourth Proportional to 699.15, 964.87 and 462.69

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Solution

The fourth proportional to 699.15, 964.87 and 462.69 is: 638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.15 : 964.87 = 462.69 : x
  2. Step 2: Convert to fraction form
    699.15/964.87 = 462.69/x
  3. Step 3: Cross multiply
    699.15x = 964.87 × 462.69
  4. Step 4: Simplify right side
    699.15x = 446,430.88
  5. Step 5: Solve for x
    x = 446,430.88/699.15
  6. Step 6: Final answer
    x = 638.53

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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.