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Finding the Fourth Proportional to 448.64, 619.08 and 317.60

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Solution

The fourth proportional to 448.64, 619.08 and 317.60 is: 438.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.64 : 619.08 = 317.60 : x
  2. Step 2: Convert to fraction form
    448.64/619.08 = 317.60/x
  3. Step 3: Cross multiply
    448.64x = 619.08 × 317.60
  4. Step 4: Simplify right side
    448.64x = 196,619.81
  5. Step 5: Solve for x
    x = 196,619.81/448.64
  6. Step 6: Final answer
    x = 438.26

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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.