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Finding the Fourth Proportional to 1,019.85, 1,407.40 and 600.15

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Solution

The fourth proportional to 1,019.85, 1,407.40 and 600.15 is: 828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.85 : 1,407.40 = 600.15 : x
  2. Step 2: Convert to fraction form
    1,019.85/1,407.40 = 600.15/x
  3. Step 3: Cross multiply
    1,019.85x = 1,407.40 × 600.15
  4. Step 4: Simplify right side
    1,019.85x = 844,651.11
  5. Step 5: Solve for x
    x = 844,651.11/1,019.85
  6. Step 6: Final answer
    x = 828.21

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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.