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Finding the Fourth Proportional to 1,090.42, 1,635.48 and 310.49

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Solution

The fourth proportional to 1,090.42, 1,635.48 and 310.49 is: 465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.42 : 1,635.48 = 310.49 : x
  2. Step 2: Convert to fraction form
    1,090.42/1,635.48 = 310.49/x
  3. Step 3: Cross multiply
    1,090.42x = 1,635.48 × 310.49
  4. Step 4: Simplify right side
    1,090.42x = 507,792.01
  5. Step 5: Solve for x
    x = 507,792.01/1,090.42
  6. Step 6: Final answer
    x = 465.69

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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.