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Finding the Fourth Proportional to 1,695.65, 2,543.05 and 463.07

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Solution

The fourth proportional to 1,695.65, 2,543.05 and 463.07 is: 694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.65 : 2,543.05 = 463.07 : x
  2. Step 2: Convert to fraction form
    1,695.65/2,543.05 = 463.07/x
  3. Step 3: Cross multiply
    1,695.65x = 2,543.05 × 463.07
  4. Step 4: Simplify right side
    1,695.65x = 1,177,604.10
  5. Step 5: Solve for x
    x = 1,177,604.10/1,695.65
  6. Step 6: Final answer
    x = 694.49

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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.