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Finding the Fourth Proportional to 561.13, 840.33 and 484.59

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Solution

The fourth proportional to 561.13, 840.33 and 484.59 is: 725.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.13 : 840.33 = 484.59 : x
  2. Step 2: Convert to fraction form
    561.13/840.33 = 484.59/x
  3. Step 3: Cross multiply
    561.13x = 840.33 × 484.59
  4. Step 4: Simplify right side
    561.13x = 407,215.51
  5. Step 5: Solve for x
    x = 407,215.51/561.13
  6. Step 6: Final answer
    x = 725.71

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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.