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Finding the Fourth Proportional to 1,533.77, 2,300.27 and 438.14

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Solution

The fourth proportional to 1,533.77, 2,300.27 and 438.14 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.77 : 2,300.27 = 438.14 : x
  2. Step 2: Convert to fraction form
    1,533.77/2,300.27 = 438.14/x
  3. Step 3: Cross multiply
    1,533.77x = 2,300.27 × 438.14
  4. Step 4: Simplify right side
    1,533.77x = 1,007,847.14
  5. Step 5: Solve for x
    x = 1,007,847.14/1,533.77
  6. Step 6: Final answer
    x = 657.10

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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.