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Finding the Fourth Proportional to 462.22, 689.93 and 407.54

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Solution

The fourth proportional to 462.22, 689.93 and 407.54 is: 608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.22 : 689.93 = 407.54 : x
  2. Step 2: Convert to fraction form
    462.22/689.93 = 407.54/x
  3. Step 3: Cross multiply
    462.22x = 689.93 × 407.54
  4. Step 4: Simplify right side
    462.22x = 281,174.07
  5. Step 5: Solve for x
    x = 281,174.07/462.22
  6. Step 6: Final answer
    x = 608.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.