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Finding the Fourth Proportional to 1,688.78, 2,533.21 and 909.43

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Solution

The fourth proportional to 1,688.78, 2,533.21 and 909.43 is: 1,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.78 : 2,533.21 = 909.43 : x
  2. Step 2: Convert to fraction form
    1,688.78/2,533.21 = 909.43/x
  3. Step 3: Cross multiply
    1,688.78x = 2,533.21 × 909.43
  4. Step 4: Simplify right side
    1,688.78x = 2,303,768.56
  5. Step 5: Solve for x
    x = 2,303,768.56/1,688.78
  6. Step 6: Final answer
    x = 1,364.16

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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.