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Finding the Fourth Proportional to 604.30, 902.34 and 570.07

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Solution

The fourth proportional to 604.30, 902.34 and 570.07 is: 851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.30 : 902.34 = 570.07 : x
  2. Step 2: Convert to fraction form
    604.30/902.34 = 570.07/x
  3. Step 3: Cross multiply
    604.30x = 902.34 × 570.07
  4. Step 4: Simplify right side
    604.30x = 514,396.37
  5. Step 5: Solve for x
    x = 514,396.37/604.30
  6. Step 6: Final answer
    x = 851.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.