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Finding the Fourth Proportional to 764.98, 1,054.68 and 624.96

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Solution

The fourth proportional to 764.98, 1,054.68 and 624.96 is: 861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.98 : 1,054.68 = 624.96 : x
  2. Step 2: Convert to fraction form
    764.98/1,054.68 = 624.96/x
  3. Step 3: Cross multiply
    764.98x = 1,054.68 × 624.96
  4. Step 4: Simplify right side
    764.98x = 659,132.81
  5. Step 5: Solve for x
    x = 659,132.81/764.98
  6. Step 6: Final answer
    x = 861.63

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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.