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Finding the Fourth Proportional to 553.82, 764.32 and 305.19

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Solution

The fourth proportional to 553.82, 764.32 and 305.19 is: 421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.82 : 764.32 = 305.19 : x
  2. Step 2: Convert to fraction form
    553.82/764.32 = 305.19/x
  3. Step 3: Cross multiply
    553.82x = 764.32 × 305.19
  4. Step 4: Simplify right side
    553.82x = 233,262.82
  5. Step 5: Solve for x
    x = 233,262.82/553.82
  6. Step 6: Final answer
    x = 421.19

Related Problems

Find fourth proportional to 276.91, 382.16 and 152.60
Half scale
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Double scale
Find fourth proportional to 554.82, 765.70 and 306.19
Similar ratio
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1.5x scale

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.