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Finding the Fourth Proportional to 469.68, 701.40 and 464.60

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Solution

The fourth proportional to 469.68, 701.40 and 464.60 is: 693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.68 : 701.40 = 464.60 : x
  2. Step 2: Convert to fraction form
    469.68/701.40 = 464.60/x
  3. Step 3: Cross multiply
    469.68x = 701.40 × 464.60
  4. Step 4: Simplify right side
    469.68x = 325,866.93
  5. Step 5: Solve for x
    x = 325,866.93/469.68
  6. Step 6: Final answer
    x = 693.81

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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.