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Finding the Fourth Proportional to 680.02, 937.47 and 483.46

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Solution

The fourth proportional to 680.02, 937.47 and 483.46 is: 666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 937.47 = 483.46 : x
  2. Step 2: Convert to fraction form
    680.02/937.47 = 483.46/x
  3. Step 3: Cross multiply
    680.02x = 937.47 × 483.46
  4. Step 4: Simplify right side
    680.02x = 453,229.25
  5. Step 5: Solve for x
    x = 453,229.25/680.02
  6. Step 6: Final answer
    x = 666.49

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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.