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Finding the Fourth Proportional to 547.92, 756.36 and 410.32

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Solution

The fourth proportional to 547.92, 756.36 and 410.32 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 756.36 = 410.32 : x
  2. Step 2: Convert to fraction form
    547.92/756.36 = 410.32/x
  3. Step 3: Cross multiply
    547.92x = 756.36 × 410.32
  4. Step 4: Simplify right side
    547.92x = 310,349.64
  5. Step 5: Solve for x
    x = 310,349.64/547.92
  6. Step 6: Final answer
    x = 566.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.