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Finding the Fourth Proportional to 1,025.94, 1,415.80 and 560.19

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Solution

The fourth proportional to 1,025.94, 1,415.80 and 560.19 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.94 : 1,415.80 = 560.19 : x
  2. Step 2: Convert to fraction form
    1,025.94/1,415.80 = 560.19/x
  3. Step 3: Cross multiply
    1,025.94x = 1,415.80 × 560.19
  4. Step 4: Simplify right side
    1,025.94x = 793,114.20
  5. Step 5: Solve for x
    x = 793,114.20/1,025.94
  6. Step 6: Final answer
    x = 773.06

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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.