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Finding the Fourth Proportional to 662.74, 914.61 and 368.01

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Solution

The fourth proportional to 662.74, 914.61 and 368.01 is: 507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.74 : 914.61 = 368.01 : x
  2. Step 2: Convert to fraction form
    662.74/914.61 = 368.01/x
  3. Step 3: Cross multiply
    662.74x = 914.61 × 368.01
  4. Step 4: Simplify right side
    662.74x = 336,585.63
  5. Step 5: Solve for x
    x = 336,585.63/662.74
  6. Step 6: Final answer
    x = 507.87

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