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Finding the Fourth Proportional to 858.23, 1,184.37 and 526.83

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Solution

The fourth proportional to 858.23, 1,184.37 and 526.83 is: 727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.23 : 1,184.37 = 526.83 : x
  2. Step 2: Convert to fraction form
    858.23/1,184.37 = 526.83/x
  3. Step 3: Cross multiply
    858.23x = 1,184.37 × 526.83
  4. Step 4: Simplify right side
    858.23x = 623,961.65
  5. Step 5: Solve for x
    x = 623,961.65/858.23
  6. Step 6: Final answer
    x = 727.04

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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.