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Finding the Fourth Proportional to 858.51, 1,184.06 and 578.64

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Solution

The fourth proportional to 858.51, 1,184.06 and 578.64 is: 798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.51 : 1,184.06 = 578.64 : x
  2. Step 2: Convert to fraction form
    858.51/1,184.06 = 578.64/x
  3. Step 3: Cross multiply
    858.51x = 1,184.06 × 578.64
  4. Step 4: Simplify right side
    858.51x = 685,146.30
  5. Step 5: Solve for x
    x = 685,146.30/858.51
  6. Step 6: Final answer
    x = 798.06

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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.