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Finding the Fourth Proportional to 572.02, 786.35 and 491.96

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Solution

The fourth proportional to 572.02, 786.35 and 491.96 is: 676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.02 : 786.35 = 491.96 : x
  2. Step 2: Convert to fraction form
    572.02/786.35 = 491.96/x
  3. Step 3: Cross multiply
    572.02x = 786.35 × 491.96
  4. Step 4: Simplify right side
    572.02x = 386,855.42
  5. Step 5: Solve for x
    x = 386,855.42/572.02
  6. Step 6: Final answer
    x = 676.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.