Home / 1,116.25-1,674.50-500.23

Finding the Fourth Proportional to 1,116.25, 1,674.50 and 500.23

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Solution

The fourth proportional to 1,116.25, 1,674.50 and 500.23 is: 750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.25 : 1,674.50 = 500.23 : x
  2. Step 2: Convert to fraction form
    1,116.25/1,674.50 = 500.23/x
  3. Step 3: Cross multiply
    1,116.25x = 1,674.50 × 500.23
  4. Step 4: Simplify right side
    1,116.25x = 837,632.63
  5. Step 5: Solve for x
    x = 837,632.63/1,116.25
  6. Step 6: Final answer
    x = 750.40

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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.