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Finding the Fourth Proportional to 1,688, 2,528.70 and 863.84

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Solution

The fourth proportional to 1,688, 2,528.70 and 863.84 is: 1,294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688 : 2,528.70 = 863.84 : x
  2. Step 2: Convert to fraction form
    1,688/2,528.70 = 863.84/x
  3. Step 3: Cross multiply
    1,688x = 2,528.70 × 863.84
  4. Step 4: Simplify right side
    1,688x = 2,184,392.21
  5. Step 5: Solve for x
    x = 2,184,392.21/1,688
  6. Step 6: Final answer
    x = 1,294.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.