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Finding the Fourth Proportional to 1,046.14, 1,566.77 and 613.60

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Solution

The fourth proportional to 1,046.14, 1,566.77 and 613.60 is: 918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.14 : 1,566.77 = 613.60 : x
  2. Step 2: Convert to fraction form
    1,046.14/1,566.77 = 613.60/x
  3. Step 3: Cross multiply
    1,046.14x = 1,566.77 × 613.60
  4. Step 4: Simplify right side
    1,046.14x = 961,370.07
  5. Step 5: Solve for x
    x = 961,370.07/1,046.14
  6. Step 6: Final answer
    x = 918.97

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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.