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Finding the Fourth Proportional to 525.45, 784.37 and 487.46

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Solution

The fourth proportional to 525.45, 784.37 and 487.46 is: 727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.45 : 784.37 = 487.46 : x
  2. Step 2: Convert to fraction form
    525.45/784.37 = 487.46/x
  3. Step 3: Cross multiply
    525.45x = 784.37 × 487.46
  4. Step 4: Simplify right side
    525.45x = 382,342.64
  5. Step 5: Solve for x
    x = 382,342.64/525.45
  6. Step 6: Final answer
    x = 727.65

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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.