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Finding the Fourth Proportional to 1,210.94, 1,816.53 and 561.86

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Solution

The fourth proportional to 1,210.94, 1,816.53 and 561.86 is: 842.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.94 : 1,816.53 = 561.86 : x
  2. Step 2: Convert to fraction form
    1,210.94/1,816.53 = 561.86/x
  3. Step 3: Cross multiply
    1,210.94x = 1,816.53 × 561.86
  4. Step 4: Simplify right side
    1,210.94x = 1,020,635.55
  5. Step 5: Solve for x
    x = 1,020,635.55/1,210.94
  6. Step 6: Final answer
    x = 842.85

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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.