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Finding the Fourth Proportional to 684.63, 946.04 and 487.80

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Solution

The fourth proportional to 684.63, 946.04 and 487.80 is: 674.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.63 : 946.04 = 487.80 : x
  2. Step 2: Convert to fraction form
    684.63/946.04 = 487.80/x
  3. Step 3: Cross multiply
    684.63x = 946.04 × 487.80
  4. Step 4: Simplify right side
    684.63x = 461,475.87
  5. Step 5: Solve for x
    x = 461,475.87/684.63
  6. Step 6: Final answer
    x = 674.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.