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Finding the Fourth Proportional to 687.64, 947.64 and 562.72

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Solution

The fourth proportional to 687.64, 947.64 and 562.72 is: 775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.64 : 947.64 = 562.72 : x
  2. Step 2: Convert to fraction form
    687.64/947.64 = 562.72/x
  3. Step 3: Cross multiply
    687.64x = 947.64 × 562.72
  4. Step 4: Simplify right side
    687.64x = 533,255.98
  5. Step 5: Solve for x
    x = 533,255.98/687.64
  6. Step 6: Final answer
    x = 775.49

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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.