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Finding the Fourth Proportional to 962.10, 1,442.73 and 345.69

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Solution

The fourth proportional to 962.10, 1,442.73 and 345.69 is: 518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.10 : 1,442.73 = 345.69 : x
  2. Step 2: Convert to fraction form
    962.10/1,442.73 = 345.69/x
  3. Step 3: Cross multiply
    962.10x = 1,442.73 × 345.69
  4. Step 4: Simplify right side
    962.10x = 498,737.33
  5. Step 5: Solve for x
    x = 498,737.33/962.10
  6. Step 6: Final answer
    x = 518.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.