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Finding the Fourth Proportional to 601.07, 828.74 and 368.15

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Solution

The fourth proportional to 601.07, 828.74 and 368.15 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 828.74 = 368.15 : x
  2. Step 2: Convert to fraction form
    601.07/828.74 = 368.15/x
  3. Step 3: Cross multiply
    601.07x = 828.74 × 368.15
  4. Step 4: Simplify right side
    601.07x = 305,097.41
  5. Step 5: Solve for x
    x = 305,097.41/601.07
  6. Step 6: Final answer
    x = 507.59

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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.