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Finding the Fourth Proportional to 492.66, 678.24 and 407.88

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Solution

The fourth proportional to 492.66, 678.24 and 407.88 is: 561.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.66 : 678.24 = 407.88 : x
  2. Step 2: Convert to fraction form
    492.66/678.24 = 407.88/x
  3. Step 3: Cross multiply
    492.66x = 678.24 × 407.88
  4. Step 4: Simplify right side
    492.66x = 276,640.53
  5. Step 5: Solve for x
    x = 276,640.53/492.66
  6. Step 6: Final answer
    x = 561.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.