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Finding the Fourth Proportional to 1,400.42, 1,932.54 and 810.93

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Solution

The fourth proportional to 1,400.42, 1,932.54 and 810.93 is: 1,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.42 : 1,932.54 = 810.93 : x
  2. Step 2: Convert to fraction form
    1,400.42/1,932.54 = 810.93/x
  3. Step 3: Cross multiply
    1,400.42x = 1,932.54 × 810.93
  4. Step 4: Simplify right side
    1,400.42x = 1,567,154.66
  5. Step 5: Solve for x
    x = 1,567,154.66/1,400.42
  6. Step 6: Final answer
    x = 1,119.06

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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.