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Finding the Fourth Proportional to 580.04, 865.56 and 518.51

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Solution

The fourth proportional to 580.04, 865.56 and 518.51 is: 773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.04 : 865.56 = 518.51 : x
  2. Step 2: Convert to fraction form
    580.04/865.56 = 518.51/x
  3. Step 3: Cross multiply
    580.04x = 865.56 × 518.51
  4. Step 4: Simplify right side
    580.04x = 448,801.52
  5. Step 5: Solve for x
    x = 448,801.52/580.04
  6. Step 6: Final answer
    x = 773.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.