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Finding the Fourth Proportional to 725.84, 1,003.08 and 585.68

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Solution

The fourth proportional to 725.84, 1,003.08 and 585.68 is: 809.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.84 : 1,003.08 = 585.68 : x
  2. Step 2: Convert to fraction form
    725.84/1,003.08 = 585.68/x
  3. Step 3: Cross multiply
    725.84x = 1,003.08 × 585.68
  4. Step 4: Simplify right side
    725.84x = 587,483.89
  5. Step 5: Solve for x
    x = 587,483.89/725.84
  6. Step 6: Final answer
    x = 809.38

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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.