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Finding the Fourth Proportional to 676.51, 932.19 and 519.14

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Solution

The fourth proportional to 676.51, 932.19 and 519.14 is: 715.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.51 : 932.19 = 519.14 : x
  2. Step 2: Convert to fraction form
    676.51/932.19 = 519.14/x
  3. Step 3: Cross multiply
    676.51x = 932.19 × 519.14
  4. Step 4: Simplify right side
    676.51x = 483,937.12
  5. Step 5: Solve for x
    x = 483,937.12/676.51
  6. Step 6: Final answer
    x = 715.34

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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.