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Finding the Fourth Proportional to 1,094.51, 1,630.16 and 1,089.21

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Solution

The fourth proportional to 1,094.51, 1,630.16 and 1,089.21 is: 1,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.51 : 1,630.16 = 1,089.21 : x
  2. Step 2: Convert to fraction form
    1,094.51/1,630.16 = 1,089.21/x
  3. Step 3: Cross multiply
    1,094.51x = 1,630.16 × 1,089.21
  4. Step 4: Simplify right side
    1,094.51x = 1,775,581.13
  5. Step 5: Solve for x
    x = 1,775,581.13/1,094.51
  6. Step 6: Final answer
    x = 1,622.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.