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Finding the Fourth Proportional to 1,147.55, 1,582.04 and 788.63

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Solution

The fourth proportional to 1,147.55, 1,582.04 and 788.63 is: 1,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.55 : 1,582.04 = 788.63 : x
  2. Step 2: Convert to fraction form
    1,147.55/1,582.04 = 788.63/x
  3. Step 3: Cross multiply
    1,147.55x = 1,582.04 × 788.63
  4. Step 4: Simplify right side
    1,147.55x = 1,247,632.35
  5. Step 5: Solve for x
    x = 1,247,632.35/1,147.55
  6. Step 6: Final answer
    x = 1,087.22

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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.