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Finding the Fourth Proportional to 623.09, 858.70 and 448.13

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Solution

The fourth proportional to 623.09, 858.70 and 448.13 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.09 : 858.70 = 448.13 : x
  2. Step 2: Convert to fraction form
    623.09/858.70 = 448.13/x
  3. Step 3: Cross multiply
    623.09x = 858.70 × 448.13
  4. Step 4: Simplify right side
    623.09x = 384,811.94
  5. Step 5: Solve for x
    x = 384,811.94/623.09
  6. Step 6: Final answer
    x = 617.58

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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.