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Finding the Fourth Proportional to 830.64, 1,142.46 and 697.80

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Solution

The fourth proportional to 830.64, 1,142.46 and 697.80 is: 959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.64 : 1,142.46 = 697.80 : x
  2. Step 2: Convert to fraction form
    830.64/1,142.46 = 697.80/x
  3. Step 3: Cross multiply
    830.64x = 1,142.46 × 697.80
  4. Step 4: Simplify right side
    830.64x = 797,208.59
  5. Step 5: Solve for x
    x = 797,208.59/830.64
  6. Step 6: Final answer
    x = 959.75

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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.