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Finding the Fourth Proportional to 501.35, 756.39 and 500.00

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Solution

The fourth proportional to 501.35, 756.39 and 500.00 is: 754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.35 : 756.39 = 500.00 : x
  2. Step 2: Convert to fraction form
    501.35/756.39 = 500.00/x
  3. Step 3: Cross multiply
    501.35x = 756.39 × 500.00
  4. Step 4: Simplify right side
    501.35x = 378,191.22
  5. Step 5: Solve for x
    x = 378,191.22/501.35
  6. Step 6: Final answer
    x = 754.35

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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.