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Finding the Fourth Proportional to 935.60, 1,401.84 and 414.81

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Solution

The fourth proportional to 935.60, 1,401.84 and 414.81 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.60 : 1,401.84 = 414.81 : x
  2. Step 2: Convert to fraction form
    935.60/1,401.84 = 414.81/x
  3. Step 3: Cross multiply
    935.60x = 1,401.84 × 414.81
  4. Step 4: Simplify right side
    935.60x = 581,497.25
  5. Step 5: Solve for x
    x = 581,497.25/935.60
  6. Step 6: Final answer
    x = 621.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.