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Finding the Fourth Proportional to 1,230.35, 1,697.89 and 670.81

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Solution

The fourth proportional to 1,230.35, 1,697.89 and 670.81 is: 925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.35 : 1,697.89 = 670.81 : x
  2. Step 2: Convert to fraction form
    1,230.35/1,697.89 = 670.81/x
  3. Step 3: Cross multiply
    1,230.35x = 1,697.89 × 670.81
  4. Step 4: Simplify right side
    1,230.35x = 1,138,960.11
  5. Step 5: Solve for x
    x = 1,138,960.11/1,230.35
  6. Step 6: Final answer
    x = 925.72

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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.