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Finding the Fourth Proportional to 1,019.81, 1,407.34 and 600.16

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Solution

The fourth proportional to 1,019.81, 1,407.34 and 600.16 is: 828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.81 : 1,407.34 = 600.16 : x
  2. Step 2: Convert to fraction form
    1,019.81/1,407.34 = 600.16/x
  3. Step 3: Cross multiply
    1,019.81x = 1,407.34 × 600.16
  4. Step 4: Simplify right side
    1,019.81x = 844,626.17
  5. Step 5: Solve for x
    x = 844,626.17/1,019.81
  6. Step 6: Final answer
    x = 828.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.