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Finding the Fourth Proportional to 550, 824.46 and 290.08

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Solution

The fourth proportional to 550, 824.46 and 290.08 is: 434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 824.46 = 290.08 : x
  2. Step 2: Convert to fraction form
    550/824.46 = 290.08/x
  3. Step 3: Cross multiply
    550x = 824.46 × 290.08
  4. Step 4: Simplify right side
    550x = 239,159.36
  5. Step 5: Solve for x
    x = 239,159.36/550
  6. Step 6: Final answer
    x = 434.84

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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.