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Finding the Fourth Proportional to 722.83, 1,085.33 and 415.03

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Solution

The fourth proportional to 722.83, 1,085.33 and 415.03 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.83 : 1,085.33 = 415.03 : x
  2. Step 2: Convert to fraction form
    722.83/1,085.33 = 415.03/x
  3. Step 3: Cross multiply
    722.83x = 1,085.33 × 415.03
  4. Step 4: Simplify right side
    722.83x = 450,444.51
  5. Step 5: Solve for x
    x = 450,444.51/722.83
  6. Step 6: Final answer
    x = 623.17

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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.