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Finding the Fourth Proportional to 525.30, 782.72 and 467.84

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Solution

The fourth proportional to 525.30, 782.72 and 467.84 is: 697.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.30 : 782.72 = 467.84 : x
  2. Step 2: Convert to fraction form
    525.30/782.72 = 467.84/x
  3. Step 3: Cross multiply
    525.30x = 782.72 × 467.84
  4. Step 4: Simplify right side
    525.30x = 366,181.47
  5. Step 5: Solve for x
    x = 366,181.47/525.30
  6. Step 6: Final answer
    x = 697.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.