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Finding the Fourth Proportional to 684.16, 944.14 and 373.66

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Solution

The fourth proportional to 684.16, 944.14 and 373.66 is: 515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 944.14 = 373.66 : x
  2. Step 2: Convert to fraction form
    684.16/944.14 = 373.66/x
  3. Step 3: Cross multiply
    684.16x = 944.14 × 373.66
  4. Step 4: Simplify right side
    684.16x = 352,785.93
  5. Step 5: Solve for x
    x = 352,785.93/684.16
  6. Step 6: Final answer
    x = 515.65

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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.