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Finding the Fourth Proportional to 1,207.91, 1,666.91 and 676.76

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Solution

The fourth proportional to 1,207.91, 1,666.91 and 676.76 is: 933.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.91 : 1,666.91 = 676.76 : x
  2. Step 2: Convert to fraction form
    1,207.91/1,666.91 = 676.76/x
  3. Step 3: Cross multiply
    1,207.91x = 1,666.91 × 676.76
  4. Step 4: Simplify right side
    1,207.91x = 1,128,086.29
  5. Step 5: Solve for x
    x = 1,128,086.29/1,207.91
  6. Step 6: Final answer
    x = 933.92

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Half scale
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Double scale
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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.