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Finding the Fourth Proportional to 1,095.62, 1,643.55 and 446.30

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Solution

The fourth proportional to 1,095.62, 1,643.55 and 446.30 is: 669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.62 : 1,643.55 = 446.30 : x
  2. Step 2: Convert to fraction form
    1,095.62/1,643.55 = 446.30/x
  3. Step 3: Cross multiply
    1,095.62x = 1,643.55 × 446.30
  4. Step 4: Simplify right side
    1,095.62x = 733,516.37
  5. Step 5: Solve for x
    x = 733,516.37/1,095.62
  6. Step 6: Final answer
    x = 669.50

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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.