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Finding the Fourth Proportional to 703.67, 1,054.49 and 517.10

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Solution

The fourth proportional to 703.67, 1,054.49 and 517.10 is: 774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.67 : 1,054.49 = 517.10 : x
  2. Step 2: Convert to fraction form
    703.67/1,054.49 = 517.10/x
  3. Step 3: Cross multiply
    703.67x = 1,054.49 × 517.10
  4. Step 4: Simplify right side
    703.67x = 545,276.83
  5. Step 5: Solve for x
    x = 545,276.83/703.67
  6. Step 6: Final answer
    x = 774.91

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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.