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Finding the Fourth Proportional to 588.38, 812.10 and 355.51

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Solution

The fourth proportional to 588.38, 812.10 and 355.51 is: 490.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.38 : 812.10 = 355.51 : x
  2. Step 2: Convert to fraction form
    588.38/812.10 = 355.51/x
  3. Step 3: Cross multiply
    588.38x = 812.10 × 355.51
  4. Step 4: Simplify right side
    588.38x = 288,709.67
  5. Step 5: Solve for x
    x = 288,709.67/588.38
  6. Step 6: Final answer
    x = 490.69

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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.