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Finding the Fourth Proportional to 1,265.17, 1,897.02 and 523.90

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Solution

The fourth proportional to 1,265.17, 1,897.02 and 523.90 is: 785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.17 : 1,897.02 = 523.90 : x
  2. Step 2: Convert to fraction form
    1,265.17/1,897.02 = 523.90/x
  3. Step 3: Cross multiply
    1,265.17x = 1,897.02 × 523.90
  4. Step 4: Simplify right side
    1,265.17x = 993,848.78
  5. Step 5: Solve for x
    x = 993,848.78/1,265.17
  6. Step 6: Final answer
    x = 785.55

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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.