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Finding the Fourth Proportional to 979.94, 1,353.66 and 761.42

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Solution

The fourth proportional to 979.94, 1,353.66 and 761.42 is: 1,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.94 : 1,353.66 = 761.42 : x
  2. Step 2: Convert to fraction form
    979.94/1,353.66 = 761.42/x
  3. Step 3: Cross multiply
    979.94x = 1,353.66 × 761.42
  4. Step 4: Simplify right side
    979.94x = 1,030,703.80
  5. Step 5: Solve for x
    x = 1,030,703.80/979.94
  6. Step 6: Final answer
    x = 1,051.80

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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.