Home / 1,684.04-2,524.34-643.76

Finding the Fourth Proportional to 1,684.04, 2,524.34 and 643.76

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Solution

The fourth proportional to 1,684.04, 2,524.34 and 643.76 is: 964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.04 : 2,524.34 = 643.76 : x
  2. Step 2: Convert to fraction form
    1,684.04/2,524.34 = 643.76/x
  3. Step 3: Cross multiply
    1,684.04x = 2,524.34 × 643.76
  4. Step 4: Simplify right side
    1,684.04x = 1,625,069.12
  5. Step 5: Solve for x
    x = 1,625,069.12/1,684.04
  6. Step 6: Final answer
    x = 964.98

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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.