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Finding the Fourth Proportional to 602.16, 828.57 and 462.23

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Solution

The fourth proportional to 602.16, 828.57 and 462.23 is: 636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 828.57 = 462.23 : x
  2. Step 2: Convert to fraction form
    602.16/828.57 = 462.23/x
  3. Step 3: Cross multiply
    602.16x = 828.57 × 462.23
  4. Step 4: Simplify right side
    602.16x = 382,985.77
  5. Step 5: Solve for x
    x = 382,985.77/602.16
  6. Step 6: Final answer
    x = 636.02

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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.