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Finding the Fourth Proportional to 853.61, 1,277.91 and 648.99

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Solution

The fourth proportional to 853.61, 1,277.91 and 648.99 is: 971.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.61 : 1,277.91 = 648.99 : x
  2. Step 2: Convert to fraction form
    853.61/1,277.91 = 648.99/x
  3. Step 3: Cross multiply
    853.61x = 1,277.91 × 648.99
  4. Step 4: Simplify right side
    853.61x = 829,350.81
  5. Step 5: Solve for x
    x = 829,350.81/853.61
  6. Step 6: Final answer
    x = 971.58

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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.