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Finding the Fourth Proportional to 460, 684.59 and 449.74

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Solution

The fourth proportional to 460, 684.59 and 449.74 is: 669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 684.59 = 449.74 : x
  2. Step 2: Convert to fraction form
    460/684.59 = 449.74/x
  3. Step 3: Cross multiply
    460x = 684.59 × 449.74
  4. Step 4: Simplify right side
    460x = 307,887.51
  5. Step 5: Solve for x
    x = 307,887.51/460
  6. Step 6: Final answer
    x = 669.32

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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.