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Finding the Fourth Proportional to 583.74, 805.41 and 362.61

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Solution

The fourth proportional to 583.74, 805.41 and 362.61 is: 500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.74 : 805.41 = 362.61 : x
  2. Step 2: Convert to fraction form
    583.74/805.41 = 362.61/x
  3. Step 3: Cross multiply
    583.74x = 805.41 × 362.61
  4. Step 4: Simplify right side
    583.74x = 292,049.72
  5. Step 5: Solve for x
    x = 292,049.72/583.74
  6. Step 6: Final answer
    x = 500.31

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.