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Finding the Fourth Proportional to 745.43, 1,118.14 and 583.25

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Solution

The fourth proportional to 745.43, 1,118.14 and 583.25 is: 874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.43 : 1,118.14 = 583.25 : x
  2. Step 2: Convert to fraction form
    745.43/1,118.14 = 583.25/x
  3. Step 3: Cross multiply
    745.43x = 1,118.14 × 583.25
  4. Step 4: Simplify right side
    745.43x = 652,155.16
  5. Step 5: Solve for x
    x = 652,155.16/745.43
  6. Step 6: Final answer
    x = 874.87

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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.