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Finding the Fourth Proportional to 830.36, 1,145.96 and 550.10

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Solution

The fourth proportional to 830.36, 1,145.96 and 550.10 is: 759.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.36 : 1,145.96 = 550.10 : x
  2. Step 2: Convert to fraction form
    830.36/1,145.96 = 550.10/x
  3. Step 3: Cross multiply
    830.36x = 1,145.96 × 550.10
  4. Step 4: Simplify right side
    830.36x = 630,392.60
  5. Step 5: Solve for x
    x = 630,392.60/830.36
  6. Step 6: Final answer
    x = 759.18

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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.