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Finding the Fourth Proportional to 684.08, 944.34 and 532.32

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Solution

The fourth proportional to 684.08, 944.34 and 532.32 is: 734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.08 : 944.34 = 532.32 : x
  2. Step 2: Convert to fraction form
    684.08/944.34 = 532.32/x
  3. Step 3: Cross multiply
    684.08x = 944.34 × 532.32
  4. Step 4: Simplify right side
    684.08x = 502,688.41
  5. Step 5: Solve for x
    x = 502,688.41/684.08
  6. Step 6: Final answer
    x = 734.84

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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.