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Finding the Fourth Proportional to 830.05, 1,145.31 and 564.70

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Solution

The fourth proportional to 830.05, 1,145.31 and 564.70 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.05 : 1,145.31 = 564.70 : x
  2. Step 2: Convert to fraction form
    830.05/1,145.31 = 564.70/x
  3. Step 3: Cross multiply
    830.05x = 1,145.31 × 564.70
  4. Step 4: Simplify right side
    830.05x = 646,756.56
  5. Step 5: Solve for x
    x = 646,756.56/830.05
  6. Step 6: Final answer
    x = 779.18

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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.