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Finding the Fourth Proportional to 1,090.72, 1,636.21 and 350.08

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Solution

The fourth proportional to 1,090.72, 1,636.21 and 350.08 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.72 : 1,636.21 = 350.08 : x
  2. Step 2: Convert to fraction form
    1,090.72/1,636.21 = 350.08/x
  3. Step 3: Cross multiply
    1,090.72x = 1,636.21 × 350.08
  4. Step 4: Simplify right side
    1,090.72x = 572,800.74
  5. Step 5: Solve for x
    x = 572,800.74/1,090.72
  6. Step 6: Final answer
    x = 525.16

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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.