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Finding the Fourth Proportional to 601.99, 903.75 and 577.39

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Solution

The fourth proportional to 601.99, 903.75 and 577.39 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.99 : 903.75 = 577.39 : x
  2. Step 2: Convert to fraction form
    601.99/903.75 = 577.39/x
  3. Step 3: Cross multiply
    601.99x = 903.75 × 577.39
  4. Step 4: Simplify right side
    601.99x = 521,816.21
  5. Step 5: Solve for x
    x = 521,816.21/601.99
  6. Step 6: Final answer
    x = 866.82

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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.