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Finding the Fourth Proportional to 858.19, 1,184.30 and 465.21

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Solution

The fourth proportional to 858.19, 1,184.30 and 465.21 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.19 : 1,184.30 = 465.21 : x
  2. Step 2: Convert to fraction form
    858.19/1,184.30 = 465.21/x
  3. Step 3: Cross multiply
    858.19x = 1,184.30 × 465.21
  4. Step 4: Simplify right side
    858.19x = 550,947.62
  5. Step 5: Solve for x
    x = 550,947.62/858.19
  6. Step 6: Final answer
    x = 641.99

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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.