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Finding the Fourth Proportional to 525.07, 724.03 and 350.11

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Solution

The fourth proportional to 525.07, 724.03 and 350.11 is: 482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 724.03 = 350.11 : x
  2. Step 2: Convert to fraction form
    525.07/724.03 = 350.11/x
  3. Step 3: Cross multiply
    525.07x = 724.03 × 350.11
  4. Step 4: Simplify right side
    525.07x = 253,490.14
  5. Step 5: Solve for x
    x = 253,490.14/525.07
  6. Step 6: Final answer
    x = 482.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.