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Finding the Fourth Proportional to 602.64, 828.04 and 491.84

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Solution

The fourth proportional to 602.64, 828.04 and 491.84 is: 675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 828.04 = 491.84 : x
  2. Step 2: Convert to fraction form
    602.64/828.04 = 491.84/x
  3. Step 3: Cross multiply
    602.64x = 828.04 × 491.84
  4. Step 4: Simplify right side
    602.64x = 407,263.19
  5. Step 5: Solve for x
    x = 407,263.19/602.64
  6. Step 6: Final answer
    x = 675.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.