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Finding the Fourth Proportional to 1,285.49, 1,928.31 and 360.98

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Solution

The fourth proportional to 1,285.49, 1,928.31 and 360.98 is: 541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.49 : 1,928.31 = 360.98 : x
  2. Step 2: Convert to fraction form
    1,285.49/1,928.31 = 360.98/x
  3. Step 3: Cross multiply
    1,285.49x = 1,928.31 × 360.98
  4. Step 4: Simplify right side
    1,285.49x = 696,082.81
  5. Step 5: Solve for x
    x = 696,082.81/1,285.49
  6. Step 6: Final answer
    x = 541.49

Related Problems

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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.