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Finding the Fourth Proportional to 699.64, 1,055.78 and 694.24

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Solution

The fourth proportional to 699.64, 1,055.78 and 694.24 is: 1,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.64 : 1,055.78 = 694.24 : x
  2. Step 2: Convert to fraction form
    699.64/1,055.78 = 694.24/x
  3. Step 3: Cross multiply
    699.64x = 1,055.78 × 694.24
  4. Step 4: Simplify right side
    699.64x = 732,964.71
  5. Step 5: Solve for x
    x = 732,964.71/699.64
  6. Step 6: Final answer
    x = 1,047.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.