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Finding the Fourth Proportional to 604.48, 907.36 and 280.16

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Solution

The fourth proportional to 604.48, 907.36 and 280.16 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 907.36 = 280.16 : x
  2. Step 2: Convert to fraction form
    604.48/907.36 = 280.16/x
  3. Step 3: Cross multiply
    604.48x = 907.36 × 280.16
  4. Step 4: Simplify right side
    604.48x = 254,205.98
  5. Step 5: Solve for x
    x = 254,205.98/604.48
  6. Step 6: Final answer
    x = 420.54

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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.