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Finding the Fourth Proportional to 588.76, 813.24 and 519.07

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Solution

The fourth proportional to 588.76, 813.24 and 519.07 is: 716.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.76 : 813.24 = 519.07 : x
  2. Step 2: Convert to fraction form
    588.76/813.24 = 519.07/x
  3. Step 3: Cross multiply
    588.76x = 813.24 × 519.07
  4. Step 4: Simplify right side
    588.76x = 422,128.49
  5. Step 5: Solve for x
    x = 422,128.49/588.76
  6. Step 6: Final answer
    x = 716.98

Related Problems

Find fourth proportional to 294.38, 406.62 and 259.54
Half scale
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Double scale
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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.