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Finding the Fourth Proportional to 1,210.95, 1,816.79 and 562.05

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Solution

The fourth proportional to 1,210.95, 1,816.79 and 562.05 is: 843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.95 : 1,816.79 = 562.05 : x
  2. Step 2: Convert to fraction form
    1,210.95/1,816.79 = 562.05/x
  3. Step 3: Cross multiply
    1,210.95x = 1,816.79 × 562.05
  4. Step 4: Simplify right side
    1,210.95x = 1,021,124.01
  5. Step 5: Solve for x
    x = 1,021,124.01/1,210.95
  6. Step 6: Final answer
    x = 843.24

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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.