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Finding the Fourth Proportional to 525.93, 725.81 and 289.91

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Solution

The fourth proportional to 525.93, 725.81 and 289.91 is: 400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.93 : 725.81 = 289.91 : x
  2. Step 2: Convert to fraction form
    525.93/725.81 = 289.91/x
  3. Step 3: Cross multiply
    525.93x = 725.81 × 289.91
  4. Step 4: Simplify right side
    525.93x = 210,414.50
  5. Step 5: Solve for x
    x = 210,414.50/525.93
  6. Step 6: Final answer
    x = 400.08

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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.