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Finding the Fourth Proportional to 1,059.43, 1,577.28 and 1,054.30

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Solution

The fourth proportional to 1,059.43, 1,577.28 and 1,054.30 is: 1,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.43 : 1,577.28 = 1,054.30 : x
  2. Step 2: Convert to fraction form
    1,059.43/1,577.28 = 1,054.30/x
  3. Step 3: Cross multiply
    1,059.43x = 1,577.28 × 1,054.30
  4. Step 4: Simplify right side
    1,059.43x = 1,662,921.86
  5. Step 5: Solve for x
    x = 1,662,921.86/1,059.43
  6. Step 6: Final answer
    x = 1,569.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.