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Finding the Fourth Proportional to 684.15, 945.14 and 632.31

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Solution

The fourth proportional to 684.15, 945.14 and 632.31 is: 873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 945.14 = 632.31 : x
  2. Step 2: Convert to fraction form
    684.15/945.14 = 632.31/x
  3. Step 3: Cross multiply
    684.15x = 945.14 × 632.31
  4. Step 4: Simplify right side
    684.15x = 597,618.31
  5. Step 5: Solve for x
    x = 597,618.31/684.15
  6. Step 6: Final answer
    x = 873.52

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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.