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Finding the Fourth Proportional to 830.67, 1,246.05 and 368.24

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Solution

The fourth proportional to 830.67, 1,246.05 and 368.24 is: 552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,246.05 = 368.24 : x
  2. Step 2: Convert to fraction form
    830.67/1,246.05 = 368.24/x
  3. Step 3: Cross multiply
    830.67x = 1,246.05 × 368.24
  4. Step 4: Simplify right side
    830.67x = 458,839.22
  5. Step 5: Solve for x
    x = 458,839.22/830.67
  6. Step 6: Final answer
    x = 552.37

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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.