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Finding the Fourth Proportional to 1,566.80, 2,349.64 and 745.48

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Solution

The fourth proportional to 1,566.80, 2,349.64 and 745.48 is: 1,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.80 : 2,349.64 = 745.48 : x
  2. Step 2: Convert to fraction form
    1,566.80/2,349.64 = 745.48/x
  3. Step 3: Cross multiply
    1,566.80x = 2,349.64 × 745.48
  4. Step 4: Simplify right side
    1,566.80x = 1,751,609.63
  5. Step 5: Solve for x
    x = 1,751,609.63/1,566.80
  6. Step 6: Final answer
    x = 1,117.95

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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.