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Finding the Fourth Proportional to 465.94, 693.63 and 459.46

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Solution

The fourth proportional to 465.94, 693.63 and 459.46 is: 683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 693.63 = 459.46 : x
  2. Step 2: Convert to fraction form
    465.94/693.63 = 459.46/x
  3. Step 3: Cross multiply
    465.94x = 693.63 × 459.46
  4. Step 4: Simplify right side
    465.94x = 318,695.24
  5. Step 5: Solve for x
    x = 318,695.24/465.94
  6. Step 6: Final answer
    x = 683.98

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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.