Home / 1,189.03-1,783.23-458.20

Finding the Fourth Proportional to 1,189.03, 1,783.23 and 458.20

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Solution

The fourth proportional to 1,189.03, 1,783.23 and 458.20 is: 687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.03 : 1,783.23 = 458.20 : x
  2. Step 2: Convert to fraction form
    1,189.03/1,783.23 = 458.20/x
  3. Step 3: Cross multiply
    1,189.03x = 1,783.23 × 458.20
  4. Step 4: Simplify right side
    1,189.03x = 817,075.99
  5. Step 5: Solve for x
    x = 817,075.99/1,189.03
  6. Step 6: Final answer
    x = 687.18

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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.