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Finding the Fourth Proportional to 525.49, 724.90 and 427.07

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Solution

The fourth proportional to 525.49, 724.90 and 427.07 is: 589.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.49 : 724.90 = 427.07 : x
  2. Step 2: Convert to fraction form
    525.49/724.90 = 427.07/x
  3. Step 3: Cross multiply
    525.49x = 724.90 × 427.07
  4. Step 4: Simplify right side
    525.49x = 309,584.59
  5. Step 5: Solve for x
    x = 309,584.59/525.49
  6. Step 6: Final answer
    x = 589.14

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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.