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Finding the Fourth Proportional to 580.10, 869.80 and 272.02

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Solution

The fourth proportional to 580.10, 869.80 and 272.02 is: 407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 869.80 = 272.02 : x
  2. Step 2: Convert to fraction form
    580.10/869.80 = 272.02/x
  3. Step 3: Cross multiply
    580.10x = 869.80 × 272.02
  4. Step 4: Simplify right side
    580.10x = 236,603.00
  5. Step 5: Solve for x
    x = 236,603.00/580.10
  6. Step 6: Final answer
    x = 407.87

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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.