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Finding the Fourth Proportional to 558.48, 841.89 and 550.08

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Solution

The fourth proportional to 558.48, 841.89 and 550.08 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.48 : 841.89 = 550.08 : x
  2. Step 2: Convert to fraction form
    558.48/841.89 = 550.08/x
  3. Step 3: Cross multiply
    558.48x = 841.89 × 550.08
  4. Step 4: Simplify right side
    558.48x = 463,106.85
  5. Step 5: Solve for x
    x = 463,106.85/558.48
  6. Step 6: Final answer
    x = 829.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.