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Finding the Fourth Proportional to 735.15, 1,012.17 and 624.45

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Solution

The fourth proportional to 735.15, 1,012.17 and 624.45 is: 859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.15 : 1,012.17 = 624.45 : x
  2. Step 2: Convert to fraction form
    735.15/1,012.17 = 624.45/x
  3. Step 3: Cross multiply
    735.15x = 1,012.17 × 624.45
  4. Step 4: Simplify right side
    735.15x = 632,049.56
  5. Step 5: Solve for x
    x = 632,049.56/735.15
  6. Step 6: Final answer
    x = 859.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.