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Finding the Fourth Proportional to 978, 1,464.92 and 612.36

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Solution

The fourth proportional to 978, 1,464.92 and 612.36 is: 917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    978 : 1,464.92 = 612.36 : x
  2. Step 2: Convert to fraction form
    978/1,464.92 = 612.36/x
  3. Step 3: Cross multiply
    978x = 1,464.92 × 612.36
  4. Step 4: Simplify right side
    978x = 897,058.41
  5. Step 5: Solve for x
    x = 897,058.41/978
  6. Step 6: Final answer
    x = 917.24

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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.