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Finding the Fourth Proportional to 757.85, 1,135.23 and 448.77

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Solution

The fourth proportional to 757.85, 1,135.23 and 448.77 is: 672.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.85 : 1,135.23 = 448.77 : x
  2. Step 2: Convert to fraction form
    757.85/1,135.23 = 448.77/x
  3. Step 3: Cross multiply
    757.85x = 1,135.23 × 448.77
  4. Step 4: Simplify right side
    757.85x = 509,457.17
  5. Step 5: Solve for x
    x = 509,457.17/757.85
  6. Step 6: Final answer
    x = 672.24

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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.