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Finding the Fourth Proportional to 588.47, 811.70 and 464.09

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Solution

The fourth proportional to 588.47, 811.70 and 464.09 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.47 : 811.70 = 464.09 : x
  2. Step 2: Convert to fraction form
    588.47/811.70 = 464.09/x
  3. Step 3: Cross multiply
    588.47x = 811.70 × 464.09
  4. Step 4: Simplify right side
    588.47x = 376,697.79
  5. Step 5: Solve for x
    x = 376,697.79/588.47
  6. Step 6: Final answer
    x = 640.14

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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.