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Finding the Fourth Proportional to 1,688.26, 2,533.12 and 907.35

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Solution

The fourth proportional to 1,688.26, 2,533.12 and 907.35 is: 1,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.26 : 2,533.12 = 907.35 : x
  2. Step 2: Convert to fraction form
    1,688.26/2,533.12 = 907.35/x
  3. Step 3: Cross multiply
    1,688.26x = 2,533.12 × 907.35
  4. Step 4: Simplify right side
    1,688.26x = 2,298,426.43
  5. Step 5: Solve for x
    x = 2,298,426.43/1,688.26
  6. Step 6: Final answer
    x = 1,361.42

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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.