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Finding the Fourth Proportional to 1,265.21, 1,897.71 and 562.64

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Solution

The fourth proportional to 1,265.21, 1,897.71 and 562.64 is: 843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.21 : 1,897.71 = 562.64 : x
  2. Step 2: Convert to fraction form
    1,265.21/1,897.71 = 562.64/x
  3. Step 3: Cross multiply
    1,265.21x = 1,897.71 × 562.64
  4. Step 4: Simplify right side
    1,265.21x = 1,067,718.07
  5. Step 5: Solve for x
    x = 1,067,718.07/1,265.21
  6. Step 6: Final answer
    x = 843.91

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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.