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Finding the Fourth Proportional to 1,210.87, 1,816.48 and 594.61

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Solution

The fourth proportional to 1,210.87, 1,816.48 and 594.61 is: 892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.87 : 1,816.48 = 594.61 : x
  2. Step 2: Convert to fraction form
    1,210.87/1,816.48 = 594.61/x
  3. Step 3: Cross multiply
    1,210.87x = 1,816.48 × 594.61
  4. Step 4: Simplify right side
    1,210.87x = 1,080,093.37
  5. Step 5: Solve for x
    x = 1,080,093.37/1,210.87
  6. Step 6: Final answer
    x = 892.00

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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.