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Finding the Fourth Proportional to 1,143.80, 1,580.28 and 1,056.32

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Solution

The fourth proportional to 1,143.80, 1,580.28 and 1,056.32 is: 1,459.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.80 : 1,580.28 = 1,056.32 : x
  2. Step 2: Convert to fraction form
    1,143.80/1,580.28 = 1,056.32/x
  3. Step 3: Cross multiply
    1,143.80x = 1,580.28 × 1,056.32
  4. Step 4: Simplify right side
    1,143.80x = 1,669,281.37
  5. Step 5: Solve for x
    x = 1,669,281.37/1,143.80
  6. Step 6: Final answer
    x = 1,459.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.