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Finding the Fourth Proportional to 678.77, 936.74 and 380.00

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Solution

The fourth proportional to 678.77, 936.74 and 380.00 is: 524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.77 : 936.74 = 380.00 : x
  2. Step 2: Convert to fraction form
    678.77/936.74 = 380.00/x
  3. Step 3: Cross multiply
    678.77x = 936.74 × 380.00
  4. Step 4: Simplify right side
    678.77x = 355,964.11
  5. Step 5: Solve for x
    x = 355,964.11/678.77
  6. Step 6: Final answer
    x = 524.43

Related Problems

Find fourth proportional to 339.38, 468.37 and 190.00
Half scale
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Double scale
Find fourth proportional to 679.77, 938.12 and 381
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.