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Finding the Fourth Proportional to 1,210.12, 1,814.72 and 388.17

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Solution

The fourth proportional to 1,210.12, 1,814.72 and 388.17 is: 582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.12 : 1,814.72 = 388.17 : x
  2. Step 2: Convert to fraction form
    1,210.12/1,814.72 = 388.17/x
  3. Step 3: Cross multiply
    1,210.12x = 1,814.72 × 388.17
  4. Step 4: Simplify right side
    1,210.12x = 704,417.92
  5. Step 5: Solve for x
    x = 704,417.92/1,210.12
  6. Step 6: Final answer
    x = 582.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.