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Finding the Fourth Proportional to 1,265.37, 1,898.52 and 572.55

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Solution

The fourth proportional to 1,265.37, 1,898.52 and 572.55 is: 859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.37 : 1,898.52 = 572.55 : x
  2. Step 2: Convert to fraction form
    1,265.37/1,898.52 = 572.55/x
  3. Step 3: Cross multiply
    1,265.37x = 1,898.52 × 572.55
  4. Step 4: Simplify right side
    1,265.37x = 1,086,997.63
  5. Step 5: Solve for x
    x = 1,086,997.63/1,265.37
  6. Step 6: Final answer
    x = 859.04

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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.