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Finding the Fourth Proportional to 1,210.68, 1,816.36 and 517.39

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Solution

The fourth proportional to 1,210.68, 1,816.36 and 517.39 is: 776.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.68 : 1,816.36 = 517.39 : x
  2. Step 2: Convert to fraction form
    1,210.68/1,816.36 = 517.39/x
  3. Step 3: Cross multiply
    1,210.68x = 1,816.36 × 517.39
  4. Step 4: Simplify right side
    1,210.68x = 939,760.67
  5. Step 5: Solve for x
    x = 939,760.67/1,210.68
  6. Step 6: Final answer
    x = 776.23

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1.5x scale

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.