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Finding the Fourth Proportional to 460.23, 693.93 and 421.95

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Solution

The fourth proportional to 460.23, 693.93 and 421.95 is: 636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.23 : 693.93 = 421.95 : x
  2. Step 2: Convert to fraction form
    460.23/693.93 = 421.95/x
  3. Step 3: Cross multiply
    460.23x = 693.93 × 421.95
  4. Step 4: Simplify right side
    460.23x = 292,803.76
  5. Step 5: Solve for x
    x = 292,803.76/460.23
  6. Step 6: Final answer
    x = 636.21

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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.