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Finding the Fourth Proportional to 830.20, 1,145.50 and 476.14

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Solution

The fourth proportional to 830.20, 1,145.50 and 476.14 is: 656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.20 : 1,145.50 = 476.14 : x
  2. Step 2: Convert to fraction form
    830.20/1,145.50 = 476.14/x
  3. Step 3: Cross multiply
    830.20x = 1,145.50 × 476.14
  4. Step 4: Simplify right side
    830.20x = 545,418.37
  5. Step 5: Solve for x
    x = 545,418.37/830.20
  6. Step 6: Final answer
    x = 656.97

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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.