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Finding the Fourth Proportional to 785.34, 1,083.27 and 598.50

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Solution

The fourth proportional to 785.34, 1,083.27 and 598.50 is: 825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.34 : 1,083.27 = 598.50 : x
  2. Step 2: Convert to fraction form
    785.34/1,083.27 = 598.50/x
  3. Step 3: Cross multiply
    785.34x = 1,083.27 × 598.50
  4. Step 4: Simplify right side
    785.34x = 648,337.10
  5. Step 5: Solve for x
    x = 648,337.10/785.34
  6. Step 6: Final answer
    x = 825.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.