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Finding the Fourth Proportional to 525.26, 790.94 and 389.27

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Solution

The fourth proportional to 525.26, 790.94 and 389.27 is: 586.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 790.94 = 389.27 : x
  2. Step 2: Convert to fraction form
    525.26/790.94 = 389.27/x
  3. Step 3: Cross multiply
    525.26x = 790.94 × 389.27
  4. Step 4: Simplify right side
    525.26x = 307,885.26
  5. Step 5: Solve for x
    x = 307,885.26/525.26
  6. Step 6: Final answer
    x = 586.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.