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Finding the Fourth Proportional to 1,703.46, 2,350.20 and 1,064.97

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Solution

The fourth proportional to 1,703.46, 2,350.20 and 1,064.97 is: 1,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.46 : 2,350.20 = 1,064.97 : x
  2. Step 2: Convert to fraction form
    1,703.46/2,350.20 = 1,064.97/x
  3. Step 3: Cross multiply
    1,703.46x = 2,350.20 × 1,064.97
  4. Step 4: Simplify right side
    1,703.46x = 2,502,897.11
  5. Step 5: Solve for x
    x = 2,502,897.11/1,703.46
  6. Step 6: Final answer
    x = 1,469.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.