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Finding the Fourth Proportional to 684.94, 938.84 and 675.34

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Solution

The fourth proportional to 684.94, 938.84 and 675.34 is: 925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 938.84 = 675.34 : x
  2. Step 2: Convert to fraction form
    684.94/938.84 = 675.34/x
  3. Step 3: Cross multiply
    684.94x = 938.84 × 675.34
  4. Step 4: Simplify right side
    684.94x = 634,036.21
  5. Step 5: Solve for x
    x = 634,036.21/684.94
  6. Step 6: Final answer
    x = 925.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.