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Finding the Fourth Proportional to 501.65, 753.42 and 394.19

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Solution

The fourth proportional to 501.65, 753.42 and 394.19 is: 592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.65 : 753.42 = 394.19 : x
  2. Step 2: Convert to fraction form
    501.65/753.42 = 394.19/x
  3. Step 3: Cross multiply
    501.65x = 753.42 × 394.19
  4. Step 4: Simplify right side
    501.65x = 296,990.63
  5. Step 5: Solve for x
    x = 296,990.63/501.65
  6. Step 6: Final answer
    x = 592.03

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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.