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Finding the Fourth Proportional to 525.20, 786.17 and 470.12

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Solution

The fourth proportional to 525.20, 786.17 and 470.12 is: 703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 786.17 = 470.12 : x
  2. Step 2: Convert to fraction form
    525.20/786.17 = 470.12/x
  3. Step 3: Cross multiply
    525.20x = 786.17 × 470.12
  4. Step 4: Simplify right side
    525.20x = 369,591.48
  5. Step 5: Solve for x
    x = 369,591.48/525.20
  6. Step 6: Final answer
    x = 703.72

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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.