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Finding the Fourth Proportional to 585.30, 808.20 and 523.02

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Solution

The fourth proportional to 585.30, 808.20 and 523.02 is: 722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.30 : 808.20 = 523.02 : x
  2. Step 2: Convert to fraction form
    585.30/808.20 = 523.02/x
  3. Step 3: Cross multiply
    585.30x = 808.20 × 523.02
  4. Step 4: Simplify right side
    585.30x = 422,704.76
  5. Step 5: Solve for x
    x = 422,704.76/585.30
  6. Step 6: Final answer
    x = 722.20

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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.