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Finding the Fourth Proportional to 745.90, 1,120.65 and 666.70

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Solution

The fourth proportional to 745.90, 1,120.65 and 666.70 is: 1,001.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.90 : 1,120.65 = 666.70 : x
  2. Step 2: Convert to fraction form
    745.90/1,120.65 = 666.70/x
  3. Step 3: Cross multiply
    745.90x = 1,120.65 × 666.70
  4. Step 4: Simplify right side
    745.90x = 747,137.36
  5. Step 5: Solve for x
    x = 747,137.36/745.90
  6. Step 6: Final answer
    x = 1,001.66

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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.