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Finding the Fourth Proportional to 684.69, 944.88 and 374.19

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Solution

The fourth proportional to 684.69, 944.88 and 374.19 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.69 : 944.88 = 374.19 : x
  2. Step 2: Convert to fraction form
    684.69/944.88 = 374.19/x
  3. Step 3: Cross multiply
    684.69x = 944.88 × 374.19
  4. Step 4: Simplify right side
    684.69x = 353,562.78
  5. Step 5: Solve for x
    x = 353,562.78/684.69
  6. Step 6: Final answer
    x = 516.38

Related Problems

Find fourth proportional to 342.35, 472.44 and 187.10
Half scale
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Double scale
Find fourth proportional to 685.69, 946.26 and 375.19
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.