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Finding the Fourth Proportional to 834.15, 1,151.53 and 647.21

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Solution

The fourth proportional to 834.15, 1,151.53 and 647.21 is: 893.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.15 : 1,151.53 = 647.21 : x
  2. Step 2: Convert to fraction form
    834.15/1,151.53 = 647.21/x
  3. Step 3: Cross multiply
    834.15x = 1,151.53 × 647.21
  4. Step 4: Simplify right side
    834.15x = 745,281.73
  5. Step 5: Solve for x
    x = 745,281.73/834.15
  6. Step 6: Final answer
    x = 893.46

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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.