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Finding the Fourth Proportional to 501.71, 750.74 and 325.40

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Solution

The fourth proportional to 501.71, 750.74 and 325.40 is: 486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.71 : 750.74 = 325.40 : x
  2. Step 2: Convert to fraction form
    501.71/750.74 = 325.40/x
  3. Step 3: Cross multiply
    501.71x = 750.74 × 325.40
  4. Step 4: Simplify right side
    501.71x = 244,285.42
  5. Step 5: Solve for x
    x = 244,285.42/501.71
  6. Step 6: Final answer
    x = 486.91

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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.