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Finding the Fourth Proportional to 588.71, 812.21 and 364.47

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Solution

The fourth proportional to 588.71, 812.21 and 364.47 is: 502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.71 : 812.21 = 364.47 : x
  2. Step 2: Convert to fraction form
    588.71/812.21 = 364.47/x
  3. Step 3: Cross multiply
    588.71x = 812.21 × 364.47
  4. Step 4: Simplify right side
    588.71x = 296,024.36
  5. Step 5: Solve for x
    x = 296,024.36/588.71
  6. Step 6: Final answer
    x = 502.84

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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.