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Finding the Fourth Proportional to 602.40, 828.48 and 485.76

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Solution

The fourth proportional to 602.40, 828.48 and 485.76 is: 668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.40 : 828.48 = 485.76 : x
  2. Step 2: Convert to fraction form
    602.40/828.48 = 485.76/x
  3. Step 3: Cross multiply
    602.40x = 828.48 × 485.76
  4. Step 4: Simplify right side
    602.40x = 402,442.44
  5. Step 5: Solve for x
    x = 402,442.44/602.40
  6. Step 6: Final answer
    x = 668.07

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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.