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Finding the Fourth Proportional to 1,145.48, 1,582.05 and 771.81

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Solution

The fourth proportional to 1,145.48, 1,582.05 and 771.81 is: 1,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.48 : 1,582.05 = 771.81 : x
  2. Step 2: Convert to fraction form
    1,145.48/1,582.05 = 771.81/x
  3. Step 3: Cross multiply
    1,145.48x = 1,582.05 × 771.81
  4. Step 4: Simplify right side
    1,145.48x = 1,221,034.10
  5. Step 5: Solve for x
    x = 1,221,034.10/1,145.48
  6. Step 6: Final answer
    x = 1,065.96

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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.