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Finding the Fourth Proportional to 501.51, 750.90 and 379.40

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Solution

The fourth proportional to 501.51, 750.90 and 379.40 is: 568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.51 : 750.90 = 379.40 : x
  2. Step 2: Convert to fraction form
    501.51/750.90 = 379.40/x
  3. Step 3: Cross multiply
    501.51x = 750.90 × 379.40
  4. Step 4: Simplify right side
    501.51x = 284,891.44
  5. Step 5: Solve for x
    x = 284,891.44/501.51
  6. Step 6: Final answer
    x = 568.07

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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.