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Finding the Fourth Proportional to 580.19, 870.15 and 271.75

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Solution

The fourth proportional to 580.19, 870.15 and 271.75 is: 407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.19 : 870.15 = 271.75 : x
  2. Step 2: Convert to fraction form
    580.19/870.15 = 271.75/x
  3. Step 3: Cross multiply
    580.19x = 870.15 × 271.75
  4. Step 4: Simplify right side
    580.19x = 236,463.26
  5. Step 5: Solve for x
    x = 236,463.26/580.19
  6. Step 6: Final answer
    x = 407.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.