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Finding the Fourth Proportional to 703.68, 1,055.58 and 378.98

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Solution

The fourth proportional to 703.68, 1,055.58 and 378.98 is: 568.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.68 : 1,055.58 = 378.98 : x
  2. Step 2: Convert to fraction form
    703.68/1,055.58 = 378.98/x
  3. Step 3: Cross multiply
    703.68x = 1,055.58 × 378.98
  4. Step 4: Simplify right side
    703.68x = 400,036.54
  5. Step 5: Solve for x
    x = 400,036.54/703.68
  6. Step 6: Final answer
    x = 568.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.