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Finding the Fourth Proportional to 684.92, 1,031.08 and 625.40

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Solution

The fourth proportional to 684.92, 1,031.08 and 625.40 is: 941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 1,031.08 = 625.40 : x
  2. Step 2: Convert to fraction form
    684.92/1,031.08 = 625.40/x
  3. Step 3: Cross multiply
    684.92x = 1,031.08 × 625.40
  4. Step 4: Simplify right side
    684.92x = 644,837.43
  5. Step 5: Solve for x
    x = 644,837.43/684.92
  6. Step 6: Final answer
    x = 941.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.