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Finding the Fourth Proportional to 688.10, 947.77 and 684.45

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Solution

The fourth proportional to 688.10, 947.77 and 684.45 is: 942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.10 : 947.77 = 684.45 : x
  2. Step 2: Convert to fraction form
    688.10/947.77 = 684.45/x
  3. Step 3: Cross multiply
    688.10x = 947.77 × 684.45
  4. Step 4: Simplify right side
    688.10x = 648,699.47
  5. Step 5: Solve for x
    x = 648,699.47/688.10
  6. Step 6: Final answer
    x = 942.75

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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.