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Finding the Fourth Proportional to 659.81, 983.14 and 617.90

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Solution

The fourth proportional to 659.81, 983.14 and 617.90 is: 920.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.81 : 983.14 = 617.90 : x
  2. Step 2: Convert to fraction form
    659.81/983.14 = 617.90/x
  3. Step 3: Cross multiply
    659.81x = 983.14 × 617.90
  4. Step 4: Simplify right side
    659.81x = 607,475.75
  5. Step 5: Solve for x
    x = 607,475.75/659.81
  6. Step 6: Final answer
    x = 920.68

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