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Finding the Fourth Proportional to 525.20, 783.95 and 487.17

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Solution

The fourth proportional to 525.20, 783.95 and 487.17 is: 727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.20 : 783.95 = 487.17 : x
  2. Step 2: Convert to fraction form
    525.20/783.95 = 487.17/x
  3. Step 3: Cross multiply
    525.20x = 783.95 × 487.17
  4. Step 4: Simplify right side
    525.20x = 381,914.49
  5. Step 5: Solve for x
    x = 381,914.49/525.20
  6. Step 6: Final answer
    x = 727.19

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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.