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Finding the Fourth Proportional to 688.08, 947.88 and 649.68

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Solution

The fourth proportional to 688.08, 947.88 and 649.68 is: 894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.08 : 947.88 = 649.68 : x
  2. Step 2: Convert to fraction form
    688.08/947.88 = 649.68/x
  3. Step 3: Cross multiply
    688.08x = 947.88 × 649.68
  4. Step 4: Simplify right side
    688.08x = 615,818.68
  5. Step 5: Solve for x
    x = 615,818.68/688.08
  6. Step 6: Final answer
    x = 894.98

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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.