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Finding the Fourth Proportional to 830.73, 1,146.33 and 564.63

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Solution

The fourth proportional to 830.73, 1,146.33 and 564.63 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.73 : 1,146.33 = 564.63 : x
  2. Step 2: Convert to fraction form
    830.73/1,146.33 = 564.63/x
  3. Step 3: Cross multiply
    830.73x = 1,146.33 × 564.63
  4. Step 4: Simplify right side
    830.73x = 647,252.31
  5. Step 5: Solve for x
    x = 647,252.31/830.73
  6. Step 6: Final answer
    x = 779.14

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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.