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Finding the Fourth Proportional to 1,272.77, 1,909.16 and 348.34

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Solution

The fourth proportional to 1,272.77, 1,909.16 and 348.34 is: 522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.77 : 1,909.16 = 348.34 : x
  2. Step 2: Convert to fraction form
    1,272.77/1,909.16 = 348.34/x
  3. Step 3: Cross multiply
    1,272.77x = 1,909.16 × 348.34
  4. Step 4: Simplify right side
    1,272.77x = 665,030.28
  5. Step 5: Solve for x
    x = 665,030.28/1,272.77
  6. Step 6: Final answer
    x = 522.51

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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.