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Finding the Fourth Proportional to 585.47, 808.78 and 468.22

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Solution

The fourth proportional to 585.47, 808.78 and 468.22 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 808.78 = 468.22 : x
  2. Step 2: Convert to fraction form
    585.47/808.78 = 468.22/x
  3. Step 3: Cross multiply
    585.47x = 808.78 × 468.22
  4. Step 4: Simplify right side
    585.47x = 378,686.97
  5. Step 5: Solve for x
    x = 378,686.97/585.47
  6. Step 6: Final answer
    x = 646.81

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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.