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Finding the Fourth Proportional to 525.78, 786.32 and 468.42

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Solution

The fourth proportional to 525.78, 786.32 and 468.42 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.78 : 786.32 = 468.42 : x
  2. Step 2: Convert to fraction form
    525.78/786.32 = 468.42/x
  3. Step 3: Cross multiply
    525.78x = 786.32 × 468.42
  4. Step 4: Simplify right side
    525.78x = 368,328.01
  5. Step 5: Solve for x
    x = 368,328.01/525.78
  6. Step 6: Final answer
    x = 700.54

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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.