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Finding the Fourth Proportional to 764.55, 1,054.14 and 646.31

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Solution

The fourth proportional to 764.55, 1,054.14 and 646.31 is: 891.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,054.14 = 646.31 : x
  2. Step 2: Convert to fraction form
    764.55/1,054.14 = 646.31/x
  3. Step 3: Cross multiply
    764.55x = 1,054.14 × 646.31
  4. Step 4: Simplify right side
    764.55x = 681,301.22
  5. Step 5: Solve for x
    x = 681,301.22/764.55
  6. Step 6: Final answer
    x = 891.11

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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.