Home / 740.23-1,110.35-415.83

Finding the Fourth Proportional to 740.23, 1,110.35 and 415.83

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Solution

The fourth proportional to 740.23, 1,110.35 and 415.83 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.23 : 1,110.35 = 415.83 : x
  2. Step 2: Convert to fraction form
    740.23/1,110.35 = 415.83/x
  3. Step 3: Cross multiply
    740.23x = 1,110.35 × 415.83
  4. Step 4: Simplify right side
    740.23x = 461,716.84
  5. Step 5: Solve for x
    x = 461,716.84/740.23
  6. Step 6: Final answer
    x = 623.75

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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.