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Finding the Fourth Proportional to 745.45, 1,118.21 and 312.91

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Solution

The fourth proportional to 745.45, 1,118.21 and 312.91 is: 469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.45 : 1,118.21 = 312.91 : x
  2. Step 2: Convert to fraction form
    745.45/1,118.21 = 312.91/x
  3. Step 3: Cross multiply
    745.45x = 1,118.21 × 312.91
  4. Step 4: Simplify right side
    745.45x = 349,901.02
  5. Step 5: Solve for x
    x = 349,901.02/745.45
  6. Step 6: Final answer
    x = 469.38

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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.