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Finding the Fourth Proportional to 757.28, 1,132.68 and 448.40

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Solution

The fourth proportional to 757.28, 1,132.68 and 448.40 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.28 : 1,132.68 = 448.40 : x
  2. Step 2: Convert to fraction form
    757.28/1,132.68 = 448.40/x
  3. Step 3: Cross multiply
    757.28x = 1,132.68 × 448.40
  4. Step 4: Simplify right side
    757.28x = 507,893.71
  5. Step 5: Solve for x
    x = 507,893.71/757.28
  6. Step 6: Final answer
    x = 670.68

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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.