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Finding the Fourth Proportional to 1,094.06, 1,641.85 and 435.87

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Solution

The fourth proportional to 1,094.06, 1,641.85 and 435.87 is: 654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.06 : 1,641.85 = 435.87 : x
  2. Step 2: Convert to fraction form
    1,094.06/1,641.85 = 435.87/x
  3. Step 3: Cross multiply
    1,094.06x = 1,641.85 × 435.87
  4. Step 4: Simplify right side
    1,094.06x = 715,637.30
  5. Step 5: Solve for x
    x = 715,637.30/1,094.06
  6. Step 6: Final answer
    x = 654.11

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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.