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Finding the Fourth Proportional to 543.38, 749.66 and 346.82

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Solution

The fourth proportional to 543.38, 749.66 and 346.82 is: 478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.38 : 749.66 = 346.82 : x
  2. Step 2: Convert to fraction form
    543.38/749.66 = 346.82/x
  3. Step 3: Cross multiply
    543.38x = 749.66 × 346.82
  4. Step 4: Simplify right side
    543.38x = 259,991.60
  5. Step 5: Solve for x
    x = 259,991.60/543.38
  6. Step 6: Final answer
    x = 478.48

Related Problems

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Double scale
Find fourth proportional to 544.38, 751.03 and 347.82
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.