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Finding the Fourth Proportional to 603.84, 903.33 and 411.06

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Solution

The fourth proportional to 603.84, 903.33 and 411.06 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 903.33 = 411.06 : x
  2. Step 2: Convert to fraction form
    603.84/903.33 = 411.06/x
  3. Step 3: Cross multiply
    603.84x = 903.33 × 411.06
  4. Step 4: Simplify right side
    603.84x = 371,322.83
  5. Step 5: Solve for x
    x = 371,322.83/603.84
  6. Step 6: Final answer
    x = 614.94

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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.