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Finding the Fourth Proportional to 465.40, 701.37 and 419.18

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Solution

The fourth proportional to 465.40, 701.37 and 419.18 is: 631.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 701.37 = 419.18 : x
  2. Step 2: Convert to fraction form
    465.40/701.37 = 419.18/x
  3. Step 3: Cross multiply
    465.40x = 701.37 × 419.18
  4. Step 4: Simplify right side
    465.40x = 294,002.76
  5. Step 5: Solve for x
    x = 294,002.76/465.40
  6. Step 6: Final answer
    x = 631.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.