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Finding the Fourth Proportional to 569.70, 784.89 and 490.86

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Solution

The fourth proportional to 569.70, 784.89 and 490.86 is: 676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.70 : 784.89 = 490.86 : x
  2. Step 2: Convert to fraction form
    569.70/784.89 = 490.86/x
  3. Step 3: Cross multiply
    569.70x = 784.89 × 490.86
  4. Step 4: Simplify right side
    569.70x = 385,271.11
  5. Step 5: Solve for x
    x = 385,271.11/569.70
  6. Step 6: Final answer
    x = 676.27

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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.