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Finding the Fourth Proportional to 745.87, 1,118.99 and 313.15

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Solution

The fourth proportional to 745.87, 1,118.99 and 313.15 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.87 : 1,118.99 = 313.15 : x
  2. Step 2: Convert to fraction form
    745.87/1,118.99 = 313.15/x
  3. Step 3: Cross multiply
    745.87x = 1,118.99 × 313.15
  4. Step 4: Simplify right side
    745.87x = 350,411.72
  5. Step 5: Solve for x
    x = 350,411.72/745.87
  6. Step 6: Final answer
    x = 469.80

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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.