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Finding the Fourth Proportional to 1,177.12, 1,762.80 and 810.88

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Solution

The fourth proportional to 1,177.12, 1,762.80 and 810.88 is: 1,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.12 : 1,762.80 = 810.88 : x
  2. Step 2: Convert to fraction form
    1,177.12/1,762.80 = 810.88/x
  3. Step 3: Cross multiply
    1,177.12x = 1,762.80 × 810.88
  4. Step 4: Simplify right side
    1,177.12x = 1,429,419.26
  5. Step 5: Solve for x
    x = 1,429,419.26/1,177.12
  6. Step 6: Final answer
    x = 1,214.34

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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.