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Finding the Fourth Proportional to 1,083.55, 1,495.53 and 684.96

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Solution

The fourth proportional to 1,083.55, 1,495.53 and 684.96 is: 945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.55 : 1,495.53 = 684.96 : x
  2. Step 2: Convert to fraction form
    1,083.55/1,495.53 = 684.96/x
  3. Step 3: Cross multiply
    1,083.55x = 1,495.53 × 684.96
  4. Step 4: Simplify right side
    1,083.55x = 1,024,374.49
  5. Step 5: Solve for x
    x = 1,024,374.49/1,083.55
  6. Step 6: Final answer
    x = 945.39

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1.5x scale

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.