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Finding the Fourth Proportional to 764.16, 1,053.63 and 623.76

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Solution

The fourth proportional to 764.16, 1,053.63 and 623.76 is: 860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.16 : 1,053.63 = 623.76 : x
  2. Step 2: Convert to fraction form
    764.16/1,053.63 = 623.76/x
  3. Step 3: Cross multiply
    764.16x = 1,053.63 × 623.76
  4. Step 4: Simplify right side
    764.16x = 657,212.25
  5. Step 5: Solve for x
    x = 657,212.25/764.16
  6. Step 6: Final answer
    x = 860.05

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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.