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Finding the Fourth Proportional to 900.14, 1,349.55 and 548.69

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Solution

The fourth proportional to 900.14, 1,349.55 and 548.69 is: 822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.14 : 1,349.55 = 548.69 : x
  2. Step 2: Convert to fraction form
    900.14/1,349.55 = 548.69/x
  3. Step 3: Cross multiply
    900.14x = 1,349.55 × 548.69
  4. Step 4: Simplify right side
    900.14x = 740,477.84
  5. Step 5: Solve for x
    x = 740,477.84/900.14
  6. Step 6: Final answer
    x = 822.63

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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.