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Finding the Fourth Proportional to 874.40, 1,206.40 and 496.23

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Solution

The fourth proportional to 874.40, 1,206.40 and 496.23 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.40 : 1,206.40 = 496.23 : x
  2. Step 2: Convert to fraction form
    874.40/1,206.40 = 496.23/x
  3. Step 3: Cross multiply
    874.40x = 1,206.40 × 496.23
  4. Step 4: Simplify right side
    874.40x = 598,651.83
  5. Step 5: Solve for x
    x = 598,651.83/874.40
  6. Step 6: Final answer
    x = 684.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.