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Finding the Fourth Proportional to 1,375.04, 2,062.35 and 400.93

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Solution

The fourth proportional to 1,375.04, 2,062.35 and 400.93 is: 601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.04 : 2,062.35 = 400.93 : x
  2. Step 2: Convert to fraction form
    1,375.04/2,062.35 = 400.93/x
  3. Step 3: Cross multiply
    1,375.04x = 2,062.35 × 400.93
  4. Step 4: Simplify right side
    1,375.04x = 826,852.83
  5. Step 5: Solve for x
    x = 826,852.83/1,375.04
  6. Step 6: Final answer
    x = 601.33

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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.