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Finding the Fourth Proportional to 1,146.59, 1,582.37 and 649.25

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Solution

The fourth proportional to 1,146.59, 1,582.37 and 649.25 is: 896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.59 : 1,582.37 = 649.25 : x
  2. Step 2: Convert to fraction form
    1,146.59/1,582.37 = 649.25/x
  3. Step 3: Cross multiply
    1,146.59x = 1,582.37 × 649.25
  4. Step 4: Simplify right side
    1,146.59x = 1,027,353.72
  5. Step 5: Solve for x
    x = 1,027,353.72/1,146.59
  6. Step 6: Final answer
    x = 896.01

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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.