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Finding the Fourth Proportional to 466.02, 638.45 and 448.50

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Solution

The fourth proportional to 466.02, 638.45 and 448.50 is: 614.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.02 : 638.45 = 448.50 : x
  2. Step 2: Convert to fraction form
    466.02/638.45 = 448.50/x
  3. Step 3: Cross multiply
    466.02x = 638.45 × 448.50
  4. Step 4: Simplify right side
    466.02x = 286,342.58
  5. Step 5: Solve for x
    x = 286,342.58/466.02
  6. Step 6: Final answer
    x = 614.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.