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Finding the Fourth Proportional to 687.35, 947.57 and 547.90

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Solution

The fourth proportional to 687.35, 947.57 and 547.90 is: 755.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.35 : 947.57 = 547.90 : x
  2. Step 2: Convert to fraction form
    687.35/947.57 = 547.90/x
  3. Step 3: Cross multiply
    687.35x = 947.57 × 547.90
  4. Step 4: Simplify right side
    687.35x = 519,168.49
  5. Step 5: Solve for x
    x = 519,168.49/687.35
  6. Step 6: Final answer
    x = 755.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.