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Finding the Fourth Proportional to 1,689.50, 2,534.01 and 456.99

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Solution

The fourth proportional to 1,689.50, 2,534.01 and 456.99 is: 685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.50 : 2,534.01 = 456.99 : x
  2. Step 2: Convert to fraction form
    1,689.50/2,534.01 = 456.99/x
  3. Step 3: Cross multiply
    1,689.50x = 2,534.01 × 456.99
  4. Step 4: Simplify right side
    1,689.50x = 1,158,017.23
  5. Step 5: Solve for x
    x = 1,158,017.23/1,689.50
  6. Step 6: Final answer
    x = 685.42

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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.