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Finding the Fourth Proportional to 695.99, 1,045.73 and 449.35

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Solution

The fourth proportional to 695.99, 1,045.73 and 449.35 is: 675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.99 : 1,045.73 = 449.35 : x
  2. Step 2: Convert to fraction form
    695.99/1,045.73 = 449.35/x
  3. Step 3: Cross multiply
    695.99x = 1,045.73 × 449.35
  4. Step 4: Simplify right side
    695.99x = 469,897.28
  5. Step 5: Solve for x
    x = 469,897.28/695.99
  6. Step 6: Final answer
    x = 675.15

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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.