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Finding the Fourth Proportional to 830.25, 1,242.29 and 520.65

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Solution

The fourth proportional to 830.25, 1,242.29 and 520.65 is: 779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,242.29 = 520.65 : x
  2. Step 2: Convert to fraction form
    830.25/1,242.29 = 520.65/x
  3. Step 3: Cross multiply
    830.25x = 1,242.29 × 520.65
  4. Step 4: Simplify right side
    830.25x = 646,800.16
  5. Step 5: Solve for x
    x = 646,800.16/830.25
  6. Step 6: Final answer
    x = 779.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.