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Finding the Fourth Proportional to 762.82, 1,144.53 and 438.01

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Solution

The fourth proportional to 762.82, 1,144.53 and 438.01 is: 657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.82 : 1,144.53 = 438.01 : x
  2. Step 2: Convert to fraction form
    762.82/1,144.53 = 438.01/x
  3. Step 3: Cross multiply
    762.82x = 1,144.53 × 438.01
  4. Step 4: Simplify right side
    762.82x = 501,312.72
  5. Step 5: Solve for x
    x = 501,312.72/762.82
  6. Step 6: Final answer
    x = 657.19

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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.