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Finding the Fourth Proportional to 525.40, 786.89 and 466.78

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Solution

The fourth proportional to 525.40, 786.89 and 466.78 is: 699.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.40 : 786.89 = 466.78 : x
  2. Step 2: Convert to fraction form
    525.40/786.89 = 466.78/x
  3. Step 3: Cross multiply
    525.40x = 786.89 × 466.78
  4. Step 4: Simplify right side
    525.40x = 367,302.18
  5. Step 5: Solve for x
    x = 367,302.18/525.40
  6. Step 6: Final answer
    x = 699.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.