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Finding the Fourth Proportional to 858.12, 1,181.84 and 740.06

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Solution

The fourth proportional to 858.12, 1,181.84 and 740.06 is: 1,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.12 : 1,181.84 = 740.06 : x
  2. Step 2: Convert to fraction form
    858.12/1,181.84 = 740.06/x
  3. Step 3: Cross multiply
    858.12x = 1,181.84 × 740.06
  4. Step 4: Simplify right side
    858.12x = 874,632.51
  5. Step 5: Solve for x
    x = 874,632.51/858.12
  6. Step 6: Final answer
    x = 1,019.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.