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Finding the Fourth Proportional to 978.48, 1,469.60 and 614

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Solution

The fourth proportional to 978.48, 1,469.60 and 614 is: 922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.48 : 1,469.60 = 614 : x
  2. Step 2: Convert to fraction form
    978.48/1,469.60 = 614/x
  3. Step 3: Cross multiply
    978.48x = 1,469.60 × 614
  4. Step 4: Simplify right side
    978.48x = 902,334.40
  5. Step 5: Solve for x
    x = 902,334.40/978.48
  6. Step 6: Final answer
    x = 922.18

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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.