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Finding the Fourth Proportional to 553.69, 764.06 and 304.96

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Solution

The fourth proportional to 553.69, 764.06 and 304.96 is: 420.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.69 : 764.06 = 304.96 : x
  2. Step 2: Convert to fraction form
    553.69/764.06 = 304.96/x
  3. Step 3: Cross multiply
    553.69x = 764.06 × 304.96
  4. Step 4: Simplify right side
    553.69x = 233,008.95
  5. Step 5: Solve for x
    x = 233,008.95/553.69
  6. Step 6: Final answer
    x = 420.83

Related Problems

Find fourth proportional to 276.84, 382.03 and 152.48
Half scale
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Double scale
Find fourth proportional to 554.69, 765.44 and 305.96
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.