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Finding the Fourth Proportional to 1,145.58, 1,580.28 and 988.86

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Solution

The fourth proportional to 1,145.58, 1,580.28 and 988.86 is: 1,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.58 : 1,580.28 = 988.86 : x
  2. Step 2: Convert to fraction form
    1,145.58/1,580.28 = 988.86/x
  3. Step 3: Cross multiply
    1,145.58x = 1,580.28 × 988.86
  4. Step 4: Simplify right side
    1,145.58x = 1,562,675.68
  5. Step 5: Solve for x
    x = 1,562,675.68/1,145.58
  6. Step 6: Final answer
    x = 1,364.09

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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.