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Finding the Fourth Proportional to 680.08, 938.38 and 469.93

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Solution

The fourth proportional to 680.08, 938.38 and 469.93 is: 648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.08 : 938.38 = 469.93 : x
  2. Step 2: Convert to fraction form
    680.08/938.38 = 469.93/x
  3. Step 3: Cross multiply
    680.08x = 938.38 × 469.93
  4. Step 4: Simplify right side
    680.08x = 440,969.06
  5. Step 5: Solve for x
    x = 440,969.06/680.08
  6. Step 6: Final answer
    x = 648.40

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1.5x scale

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.