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Finding the Fourth Proportional to 1,207.87, 1,666.47 and 676.67

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Solution

The fourth proportional to 1,207.87, 1,666.47 and 676.67 is: 933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.87 : 1,666.47 = 676.67 : x
  2. Step 2: Convert to fraction form
    1,207.87/1,666.47 = 676.67/x
  3. Step 3: Cross multiply
    1,207.87x = 1,666.47 × 676.67
  4. Step 4: Simplify right side
    1,207.87x = 1,127,654.42
  5. Step 5: Solve for x
    x = 1,127,654.42/1,207.87
  6. Step 6: Final answer
    x = 933.59

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1.5x scale

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.