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Finding the Fourth Proportional to 604.30, 904.90 and 567.82

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Solution

The fourth proportional to 604.30, 904.90 and 567.82 is: 850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.30 : 904.90 = 567.82 : x
  2. Step 2: Convert to fraction form
    604.30/904.90 = 567.82/x
  3. Step 3: Cross multiply
    604.30x = 904.90 × 567.82
  4. Step 4: Simplify right side
    604.30x = 513,820.32
  5. Step 5: Solve for x
    x = 513,820.32/604.30
  6. Step 6: Final answer
    x = 850.27

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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.