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Finding the Fourth Proportional to 585.70, 808.24 and 320.12

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Solution

The fourth proportional to 585.70, 808.24 and 320.12 is: 441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.70 : 808.24 = 320.12 : x
  2. Step 2: Convert to fraction form
    585.70/808.24 = 320.12/x
  3. Step 3: Cross multiply
    585.70x = 808.24 × 320.12
  4. Step 4: Simplify right side
    585.70x = 258,733.79
  5. Step 5: Solve for x
    x = 258,733.79/585.70
  6. Step 6: Final answer
    x = 441.75

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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.