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Finding the Fourth Proportional to 764.97, 1,141.60 and 682.96

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Solution

The fourth proportional to 764.97, 1,141.60 and 682.96 is: 1,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.97 : 1,141.60 = 682.96 : x
  2. Step 2: Convert to fraction form
    764.97/1,141.60 = 682.96/x
  3. Step 3: Cross multiply
    764.97x = 1,141.60 × 682.96
  4. Step 4: Simplify right side
    764.97x = 779,667.14
  5. Step 5: Solve for x
    x = 779,667.14/764.97
  6. Step 6: Final answer
    x = 1,019.21

Related Problems

Find fourth proportional to 382.49, 570.80 and 341.48
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.