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Finding the Fourth Proportional to 1,184.79, 1,775.90 and 454.05

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Solution

The fourth proportional to 1,184.79, 1,775.90 and 454.05 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.79 : 1,775.90 = 454.05 : x
  2. Step 2: Convert to fraction form
    1,184.79/1,775.90 = 454.05/x
  3. Step 3: Cross multiply
    1,184.79x = 1,775.90 × 454.05
  4. Step 4: Simplify right side
    1,184.79x = 806,345.12
  5. Step 5: Solve for x
    x = 806,345.12/1,184.79
  6. Step 6: Final answer
    x = 680.58

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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.