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Finding the Fourth Proportional to 604.30, 830.70 and 544.90

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Solution

The fourth proportional to 604.30, 830.70 and 544.90 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.30 : 830.70 = 544.90 : x
  2. Step 2: Convert to fraction form
    604.30/830.70 = 544.90/x
  3. Step 3: Cross multiply
    604.30x = 830.70 × 544.90
  4. Step 4: Simplify right side
    604.30x = 452,648.43
  5. Step 5: Solve for x
    x = 452,648.43/604.30
  6. Step 6: Final answer
    x = 749.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.