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Finding the Fourth Proportional to 830.14, 1,145.73 and 633.28

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Solution

The fourth proportional to 830.14, 1,145.73 and 633.28 is: 874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.14 : 1,145.73 = 633.28 : x
  2. Step 2: Convert to fraction form
    830.14/1,145.73 = 633.28/x
  3. Step 3: Cross multiply
    830.14x = 1,145.73 × 633.28
  4. Step 4: Simplify right side
    830.14x = 725,567.89
  5. Step 5: Solve for x
    x = 725,567.89/830.14
  6. Step 6: Final answer
    x = 874.03

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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.