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Finding the Fourth Proportional to 448.95, 670.40 and 423.32

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Solution

The fourth proportional to 448.95, 670.40 and 423.32 is: 632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.95 : 670.40 = 423.32 : x
  2. Step 2: Convert to fraction form
    448.95/670.40 = 423.32/x
  3. Step 3: Cross multiply
    448.95x = 670.40 × 423.32
  4. Step 4: Simplify right side
    448.95x = 283,793.73
  5. Step 5: Solve for x
    x = 283,793.73/448.95
  6. Step 6: Final answer
    x = 632.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.