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Finding the Fourth Proportional to 580.07, 801.53 and 506.27

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Solution

The fourth proportional to 580.07, 801.53 and 506.27 is: 699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 801.53 = 506.27 : x
  2. Step 2: Convert to fraction form
    580.07/801.53 = 506.27/x
  3. Step 3: Cross multiply
    580.07x = 801.53 × 506.27
  4. Step 4: Simplify right side
    580.07x = 405,784.05
  5. Step 5: Solve for x
    x = 405,784.05/580.07
  6. Step 6: Final answer
    x = 699.55

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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.