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Finding the Fourth Proportional to 601.68, 900.75 and 544.03

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Solution

The fourth proportional to 601.68, 900.75 and 544.03 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 900.75 = 544.03 : x
  2. Step 2: Convert to fraction form
    601.68/900.75 = 544.03/x
  3. Step 3: Cross multiply
    601.68x = 900.75 × 544.03
  4. Step 4: Simplify right side
    601.68x = 490,035.02
  5. Step 5: Solve for x
    x = 490,035.02/601.68
  6. Step 6: Final answer
    x = 814.45

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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.