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Finding the Fourth Proportional to 623.16, 859.14 and 448.20

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Solution

The fourth proportional to 623.16, 859.14 and 448.20 is: 617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.16 : 859.14 = 448.20 : x
  2. Step 2: Convert to fraction form
    623.16/859.14 = 448.20/x
  3. Step 3: Cross multiply
    623.16x = 859.14 × 448.20
  4. Step 4: Simplify right side
    623.16x = 385,066.55
  5. Step 5: Solve for x
    x = 385,066.55/623.16
  6. Step 6: Final answer
    x = 617.93

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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.