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Finding the Fourth Proportional to 585.36, 808.02 and 352.56

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Solution

The fourth proportional to 585.36, 808.02 and 352.56 is: 486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.36 : 808.02 = 352.56 : x
  2. Step 2: Convert to fraction form
    585.36/808.02 = 352.56/x
  3. Step 3: Cross multiply
    585.36x = 808.02 × 352.56
  4. Step 4: Simplify right side
    585.36x = 284,875.53
  5. Step 5: Solve for x
    x = 284,875.53/585.36
  6. Step 6: Final answer
    x = 486.67

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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.