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Finding the Fourth Proportional to 604.84, 907.44 and 280.40

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Solution

The fourth proportional to 604.84, 907.44 and 280.40 is: 420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.84 : 907.44 = 280.40 : x
  2. Step 2: Convert to fraction form
    604.84/907.44 = 280.40/x
  3. Step 3: Cross multiply
    604.84x = 907.44 × 280.40
  4. Step 4: Simplify right side
    604.84x = 254,446.18
  5. Step 5: Solve for x
    x = 254,446.18/604.84
  6. Step 6: Final answer
    x = 420.68

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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.