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Finding the Fourth Proportional to 785.12, 1,178.18 and 415.26

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Solution

The fourth proportional to 785.12, 1,178.18 and 415.26 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.12 : 1,178.18 = 415.26 : x
  2. Step 2: Convert to fraction form
    785.12/1,178.18 = 415.26/x
  3. Step 3: Cross multiply
    785.12x = 1,178.18 × 415.26
  4. Step 4: Simplify right side
    785.12x = 489,250.51
  5. Step 5: Solve for x
    x = 489,250.51/785.12
  6. Step 6: Final answer
    x = 623.16

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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.