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Finding the Fourth Proportional to 572.84, 855.85 and 553.72

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Solution

The fourth proportional to 572.84, 855.85 and 553.72 is: 827.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.84 : 855.85 = 553.72 : x
  2. Step 2: Convert to fraction form
    572.84/855.85 = 553.72/x
  3. Step 3: Cross multiply
    572.84x = 855.85 × 553.72
  4. Step 4: Simplify right side
    572.84x = 473,901.26
  5. Step 5: Solve for x
    x = 473,901.26/572.84
  6. Step 6: Final answer
    x = 827.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.