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Finding the Fourth Proportional to 672.70, 1,009.05 and 604.30

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Solution

The fourth proportional to 672.70, 1,009.05 and 604.30 is: 906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.70 : 1,009.05 = 604.30 : x
  2. Step 2: Convert to fraction form
    672.70/1,009.05 = 604.30/x
  3. Step 3: Cross multiply
    672.70x = 1,009.05 × 604.30
  4. Step 4: Simplify right side
    672.70x = 609,768.92
  5. Step 5: Solve for x
    x = 609,768.92/672.70
  6. Step 6: Final answer
    x = 906.45

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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.