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Finding the Fourth Proportional to 1,696.15, 2,543.80 and 463.55

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Solution

The fourth proportional to 1,696.15, 2,543.80 and 463.55 is: 695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.15 : 2,543.80 = 463.55 : x
  2. Step 2: Convert to fraction form
    1,696.15/2,543.80 = 463.55/x
  3. Step 3: Cross multiply
    1,696.15x = 2,543.80 × 463.55
  4. Step 4: Simplify right side
    1,696.15x = 1,179,178.49
  5. Step 5: Solve for x
    x = 1,179,178.49/1,696.15
  6. Step 6: Final answer
    x = 695.21

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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.