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Finding the Fourth Proportional to 684.86, 949.32 and 647.87

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Solution

The fourth proportional to 684.86, 949.32 and 647.87 is: 898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.86 : 949.32 = 647.87 : x
  2. Step 2: Convert to fraction form
    684.86/949.32 = 647.87/x
  3. Step 3: Cross multiply
    684.86x = 949.32 × 647.87
  4. Step 4: Simplify right side
    684.86x = 615,031.20
  5. Step 5: Solve for x
    x = 615,031.20/684.86
  6. Step 6: Final answer
    x = 898.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.