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Finding the Fourth Proportional to 525.07, 724.45 and 303.98

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Solution

The fourth proportional to 525.07, 724.45 and 303.98 is: 419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.07 : 724.45 = 303.98 : x
  2. Step 2: Convert to fraction form
    525.07/724.45 = 303.98/x
  3. Step 3: Cross multiply
    525.07x = 724.45 × 303.98
  4. Step 4: Simplify right side
    525.07x = 220,218.31
  5. Step 5: Solve for x
    x = 220,218.31/525.07
  6. Step 6: Final answer
    x = 419.41

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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.