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Finding the Fourth Proportional to 585.21, 807.66 and 352.38

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Solution

The fourth proportional to 585.21, 807.66 and 352.38 is: 486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.21 : 807.66 = 352.38 : x
  2. Step 2: Convert to fraction form
    585.21/807.66 = 352.38/x
  3. Step 3: Cross multiply
    585.21x = 807.66 × 352.38
  4. Step 4: Simplify right side
    585.21x = 284,603.23
  5. Step 5: Solve for x
    x = 284,603.23/585.21
  6. Step 6: Final answer
    x = 486.33

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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.