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Finding the Fourth Proportional to 973.80, 1,341.86 and 798.84

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Solution

The fourth proportional to 973.80, 1,341.86 and 798.84 is: 1,100.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.80 : 1,341.86 = 798.84 : x
  2. Step 2: Convert to fraction form
    973.80/1,341.86 = 798.84/x
  3. Step 3: Cross multiply
    973.80x = 1,341.86 × 798.84
  4. Step 4: Simplify right side
    973.80x = 1,071,927.45
  5. Step 5: Solve for x
    x = 1,071,927.45/973.80
  6. Step 6: Final answer
    x = 1,100.77

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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.