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Finding the Fourth Proportional to 1,374.93, 2,062.04 and 400.77

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Solution

The fourth proportional to 1,374.93, 2,062.04 and 400.77 is: 601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.93 : 2,062.04 = 400.77 : x
  2. Step 2: Convert to fraction form
    1,374.93/2,062.04 = 400.77/x
  3. Step 3: Cross multiply
    1,374.93x = 2,062.04 × 400.77
  4. Step 4: Simplify right side
    1,374.93x = 826,401.77
  5. Step 5: Solve for x
    x = 826,401.77/1,374.93
  6. Step 6: Final answer
    x = 601.05

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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.