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Finding the Fourth Proportional to 1,264.57, 1,897.11 and 534.15

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Solution

The fourth proportional to 1,264.57, 1,897.11 and 534.15 is: 801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.57 : 1,897.11 = 534.15 : x
  2. Step 2: Convert to fraction form
    1,264.57/1,897.11 = 534.15/x
  3. Step 3: Cross multiply
    1,264.57x = 1,897.11 × 534.15
  4. Step 4: Simplify right side
    1,264.57x = 1,013,341.31
  5. Step 5: Solve for x
    x = 1,013,341.31/1,264.57
  6. Step 6: Final answer
    x = 801.33

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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.