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Finding the Fourth Proportional to 1,230.20, 1,697.63 and 699.11

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Solution

The fourth proportional to 1,230.20, 1,697.63 and 699.11 is: 964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.20 : 1,697.63 = 699.11 : x
  2. Step 2: Convert to fraction form
    1,230.20/1,697.63 = 699.11/x
  3. Step 3: Cross multiply
    1,230.20x = 1,697.63 × 699.11
  4. Step 4: Simplify right side
    1,230.20x = 1,186,818.13
  5. Step 5: Solve for x
    x = 1,186,818.13/1,230.20
  6. Step 6: Final answer
    x = 964.74

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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.