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Finding the Fourth Proportional to 1,106.47, 1,526.72 and 812.44

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Solution

The fourth proportional to 1,106.47, 1,526.72 and 812.44 is: 1,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.47 : 1,526.72 = 812.44 : x
  2. Step 2: Convert to fraction form
    1,106.47/1,526.72 = 812.44/x
  3. Step 3: Cross multiply
    1,106.47x = 1,526.72 × 812.44
  4. Step 4: Simplify right side
    1,106.47x = 1,240,360.76
  5. Step 5: Solve for x
    x = 1,240,360.76/1,106.47
  6. Step 6: Final answer
    x = 1,121.01

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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.