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Finding the Fourth Proportional to 525.90, 723.87 and 370.38

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Solution

The fourth proportional to 525.90, 723.87 and 370.38 is: 509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.90 : 723.87 = 370.38 : x
  2. Step 2: Convert to fraction form
    525.90/723.87 = 370.38/x
  3. Step 3: Cross multiply
    525.90x = 723.87 × 370.38
  4. Step 4: Simplify right side
    525.90x = 268,106.97
  5. Step 5: Solve for x
    x = 268,106.97/525.90
  6. Step 6: Final answer
    x = 509.81

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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.