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Finding the Fourth Proportional to 604.47, 904.88 and 428.15

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Solution

The fourth proportional to 604.47, 904.88 and 428.15 is: 640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.47 : 904.88 = 428.15 : x
  2. Step 2: Convert to fraction form
    604.47/904.88 = 428.15/x
  3. Step 3: Cross multiply
    604.47x = 904.88 × 428.15
  4. Step 4: Simplify right side
    604.47x = 387,420.92
  5. Step 5: Solve for x
    x = 387,420.92/604.47
  6. Step 6: Final answer
    x = 640.93

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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.