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Finding the Fourth Proportional to 1,305.34, 1,953.20 and 785.66

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Solution

The fourth proportional to 1,305.34, 1,953.20 and 785.66 is: 1,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.34 : 1,953.20 = 785.66 : x
  2. Step 2: Convert to fraction form
    1,305.34/1,953.20 = 785.66/x
  3. Step 3: Cross multiply
    1,305.34x = 1,953.20 × 785.66
  4. Step 4: Simplify right side
    1,305.34x = 1,534,543.31
  5. Step 5: Solve for x
    x = 1,534,543.31/1,305.34
  6. Step 6: Final answer
    x = 1,175.59

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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.