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Finding the Fourth Proportional to 1,230.68, 1,698.54 and 900.20

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Solution

The fourth proportional to 1,230.68, 1,698.54 and 900.20 is: 1,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.68 : 1,698.54 = 900.20 : x
  2. Step 2: Convert to fraction form
    1,230.68/1,698.54 = 900.20/x
  3. Step 3: Cross multiply
    1,230.68x = 1,698.54 × 900.20
  4. Step 4: Simplify right side
    1,230.68x = 1,529,025.71
  5. Step 5: Solve for x
    x = 1,529,025.71/1,230.68
  6. Step 6: Final answer
    x = 1,242.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.