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Finding the Fourth Proportional to 525.02, 724.82 and 419.90

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Solution

The fourth proportional to 525.02, 724.82 and 419.90 is: 579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.02 : 724.82 = 419.90 : x
  2. Step 2: Convert to fraction form
    525.02/724.82 = 419.90/x
  3. Step 3: Cross multiply
    525.02x = 724.82 × 419.90
  4. Step 4: Simplify right side
    525.02x = 304,346.19
  5. Step 5: Solve for x
    x = 304,346.19/525.02
  6. Step 6: Final answer
    x = 579.69

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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.