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Finding the Fourth Proportional to 756.18, 1,133.91 and 448.07

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Solution

The fourth proportional to 756.18, 1,133.91 and 448.07 is: 671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,133.91 = 448.07 : x
  2. Step 2: Convert to fraction form
    756.18/1,133.91 = 448.07/x
  3. Step 3: Cross multiply
    756.18x = 1,133.91 × 448.07
  4. Step 4: Simplify right side
    756.18x = 508,073.89
  5. Step 5: Solve for x
    x = 508,073.89/756.18
  6. Step 6: Final answer
    x = 671.90

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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.