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Finding the Fourth Proportional to 469.50, 698.26 and 460.28

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Solution

The fourth proportional to 469.50, 698.26 and 460.28 is: 684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.50 : 698.26 = 460.28 : x
  2. Step 2: Convert to fraction form
    469.50/698.26 = 460.28/x
  3. Step 3: Cross multiply
    469.50x = 698.26 × 460.28
  4. Step 4: Simplify right side
    469.50x = 321,395.11
  5. Step 5: Solve for x
    x = 321,395.11/469.50
  6. Step 6: Final answer
    x = 684.55

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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.