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Finding the Fourth Proportional to 547.84, 756.32 and 417.16

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Solution

The fourth proportional to 547.84, 756.32 and 417.16 is: 575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 756.32 = 417.16 : x
  2. Step 2: Convert to fraction form
    547.84/756.32 = 417.16/x
  3. Step 3: Cross multiply
    547.84x = 756.32 × 417.16
  4. Step 4: Simplify right side
    547.84x = 315,506.45
  5. Step 5: Solve for x
    x = 315,506.45/547.84
  6. Step 6: Final answer
    x = 575.91

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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.