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Finding the Fourth Proportional to 1,689.34, 2,534.44 and 909.01

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Solution

The fourth proportional to 1,689.34, 2,534.44 and 909.01 is: 1,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.34 : 2,534.44 = 909.01 : x
  2. Step 2: Convert to fraction form
    1,689.34/2,534.44 = 909.01/x
  3. Step 3: Cross multiply
    1,689.34x = 2,534.44 × 909.01
  4. Step 4: Simplify right side
    1,689.34x = 2,303,831.30
  5. Step 5: Solve for x
    x = 2,303,831.30/1,689.34
  6. Step 6: Final answer
    x = 1,363.75

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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.