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Finding the Fourth Proportional to 1,094.63, 1,641.95 and 478.18

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Solution

The fourth proportional to 1,094.63, 1,641.95 and 478.18 is: 717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.63 : 1,641.95 = 478.18 : x
  2. Step 2: Convert to fraction form
    1,094.63/1,641.95 = 478.18/x
  3. Step 3: Cross multiply
    1,094.63x = 1,641.95 × 478.18
  4. Step 4: Simplify right side
    1,094.63x = 785,147.65
  5. Step 5: Solve for x
    x = 785,147.65/1,094.63
  6. Step 6: Final answer
    x = 717.27

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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.