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Finding the Fourth Proportional to 684.40, 944.72 and 464.08

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Solution

The fourth proportional to 684.40, 944.72 and 464.08 is: 640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.40 : 944.72 = 464.08 : x
  2. Step 2: Convert to fraction form
    684.40/944.72 = 464.08/x
  3. Step 3: Cross multiply
    684.40x = 944.72 × 464.08
  4. Step 4: Simplify right side
    684.40x = 438,425.66
  5. Step 5: Solve for x
    x = 438,425.66/684.40
  6. Step 6: Final answer
    x = 640.60

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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.