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Finding the Fourth Proportional to 992.18, 1,368.80 and 619.31

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Solution

The fourth proportional to 992.18, 1,368.80 and 619.31 is: 854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.18 : 1,368.80 = 619.31 : x
  2. Step 2: Convert to fraction form
    992.18/1,368.80 = 619.31/x
  3. Step 3: Cross multiply
    992.18x = 1,368.80 × 619.31
  4. Step 4: Simplify right side
    992.18x = 847,714.18
  5. Step 5: Solve for x
    x = 847,714.18/992.18
  6. Step 6: Final answer
    x = 854.39

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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.