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Finding the Fourth Proportional to 588.61, 812.86 and 464.07

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Solution

The fourth proportional to 588.61, 812.86 and 464.07 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.61 : 812.86 = 464.07 : x
  2. Step 2: Convert to fraction form
    588.61/812.86 = 464.07/x
  3. Step 3: Cross multiply
    588.61x = 812.86 × 464.07
  4. Step 4: Simplify right side
    588.61x = 377,223.94
  5. Step 5: Solve for x
    x = 377,223.94/588.61
  6. Step 6: Final answer
    x = 640.87

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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.