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Finding the Fourth Proportional to 525.16, 726.06 and 427.96

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Solution

The fourth proportional to 525.16, 726.06 and 427.96 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.16 : 726.06 = 427.96 : x
  2. Step 2: Convert to fraction form
    525.16/726.06 = 427.96/x
  3. Step 3: Cross multiply
    525.16x = 726.06 × 427.96
  4. Step 4: Simplify right side
    525.16x = 310,724.64
  5. Step 5: Solve for x
    x = 310,724.64/525.16
  6. Step 6: Final answer
    x = 591.68

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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.