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Finding the Fourth Proportional to 764.90, 1,051 and 624.68

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Solution

The fourth proportional to 764.90, 1,051 and 624.68 is: 858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.90 : 1,051 = 624.68 : x
  2. Step 2: Convert to fraction form
    764.90/1,051 = 624.68/x
  3. Step 3: Cross multiply
    764.90x = 1,051 × 624.68
  4. Step 4: Simplify right side
    764.90x = 656,538.68
  5. Step 5: Solve for x
    x = 656,538.68/764.90
  6. Step 6: Final answer
    x = 858.33

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1.5x scale

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.