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Finding the Fourth Proportional to 585.56, 807.96 and 352.76

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Solution

The fourth proportional to 585.56, 807.96 and 352.76 is: 486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 807.96 = 352.76 : x
  2. Step 2: Convert to fraction form
    585.56/807.96 = 352.76/x
  3. Step 3: Cross multiply
    585.56x = 807.96 × 352.76
  4. Step 4: Simplify right side
    585.56x = 285,015.97
  5. Step 5: Solve for x
    x = 285,015.97/585.56
  6. Step 6: Final answer
    x = 486.74

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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.