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Finding the Fourth Proportional to 1,055.99, 1,585.34 and 812.67

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Solution

The fourth proportional to 1,055.99, 1,585.34 and 812.67 is: 1,220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.99 : 1,585.34 = 812.67 : x
  2. Step 2: Convert to fraction form
    1,055.99/1,585.34 = 812.67/x
  3. Step 3: Cross multiply
    1,055.99x = 1,585.34 × 812.67
  4. Step 4: Simplify right side
    1,055.99x = 1,288,354.19
  5. Step 5: Solve for x
    x = 1,288,354.19/1,055.99
  6. Step 6: Final answer
    x = 1,220.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.