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Finding the Fourth Proportional to 597.40, 895.50 and 272.60

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Solution

The fourth proportional to 597.40, 895.50 and 272.60 is: 408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.40 : 895.50 = 272.60 : x
  2. Step 2: Convert to fraction form
    597.40/895.50 = 272.60/x
  3. Step 3: Cross multiply
    597.40x = 895.50 × 272.60
  4. Step 4: Simplify right side
    597.40x = 244,113.30
  5. Step 5: Solve for x
    x = 244,113.30/597.40
  6. Step 6: Final answer
    x = 408.63

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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.