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Finding the Fourth Proportional to 1,230.21, 1,697.72 and 706.28

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Solution

The fourth proportional to 1,230.21, 1,697.72 and 706.28 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.21 : 1,697.72 = 706.28 : x
  2. Step 2: Convert to fraction form
    1,230.21/1,697.72 = 706.28/x
  3. Step 3: Cross multiply
    1,230.21x = 1,697.72 × 706.28
  4. Step 4: Simplify right side
    1,230.21x = 1,199,053.66
  5. Step 5: Solve for x
    x = 1,199,053.66/1,230.21
  6. Step 6: Final answer
    x = 974.67

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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.