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Finding the Fourth Proportional to 699.16, 964.84 and 388.66

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Solution

The fourth proportional to 699.16, 964.84 and 388.66 is: 536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.16 : 964.84 = 388.66 : x
  2. Step 2: Convert to fraction form
    699.16/964.84 = 388.66/x
  3. Step 3: Cross multiply
    699.16x = 964.84 × 388.66
  4. Step 4: Simplify right side
    699.16x = 374,994.71
  5. Step 5: Solve for x
    x = 374,994.71/699.16
  6. Step 6: Final answer
    x = 536.35

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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.