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Finding the Fourth Proportional to 1,094.30, 1,642.16 and 400.90

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Solution

The fourth proportional to 1,094.30, 1,642.16 and 400.90 is: 601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.30 : 1,642.16 = 400.90 : x
  2. Step 2: Convert to fraction form
    1,094.30/1,642.16 = 400.90/x
  3. Step 3: Cross multiply
    1,094.30x = 1,642.16 × 400.90
  4. Step 4: Simplify right side
    1,094.30x = 658,341.94
  5. Step 5: Solve for x
    x = 658,341.94/1,094.30
  6. Step 6: Final answer
    x = 601.61

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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.