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Finding the Fourth Proportional to 580.09, 795.16 and 572.31

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Solution

The fourth proportional to 580.09, 795.16 and 572.31 is: 784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.09 : 795.16 = 572.31 : x
  2. Step 2: Convert to fraction form
    580.09/795.16 = 572.31/x
  3. Step 3: Cross multiply
    580.09x = 795.16 × 572.31
  4. Step 4: Simplify right side
    580.09x = 455,078.02
  5. Step 5: Solve for x
    x = 455,078.02/580.09
  6. Step 6: Final answer
    x = 784.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.