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Finding the Fourth Proportional to 501.89, 756.18 and 453.20

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Solution

The fourth proportional to 501.89, 756.18 and 453.20 is: 682.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.89 : 756.18 = 453.20 : x
  2. Step 2: Convert to fraction form
    501.89/756.18 = 453.20/x
  3. Step 3: Cross multiply
    501.89x = 756.18 × 453.20
  4. Step 4: Simplify right side
    501.89x = 342,697.00
  5. Step 5: Solve for x
    x = 342,697.00/501.89
  6. Step 6: Final answer
    x = 682.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.