Home / 678.12-1,017.21-288.04

Finding the Fourth Proportional to 678.12, 1,017.21 and 288.04

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Solution

The fourth proportional to 678.12, 1,017.21 and 288.04 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 1,017.21 = 288.04 : x
  2. Step 2: Convert to fraction form
    678.12/1,017.21 = 288.04/x
  3. Step 3: Cross multiply
    678.12x = 1,017.21 × 288.04
  4. Step 4: Simplify right side
    678.12x = 292,995.99
  5. Step 5: Solve for x
    x = 292,995.99/678.12
  6. Step 6: Final answer
    x = 432.07

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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.