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Finding the Fourth Proportional to 568.83, 784.40 and 490.40

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Solution

The fourth proportional to 568.83, 784.40 and 490.40 is: 676.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.83 : 784.40 = 490.40 : x
  2. Step 2: Convert to fraction form
    568.83/784.40 = 490.40/x
  3. Step 3: Cross multiply
    568.83x = 784.40 × 490.40
  4. Step 4: Simplify right side
    568.83x = 384,669.76
  5. Step 5: Solve for x
    x = 384,669.76/568.83
  6. Step 6: Final answer
    x = 676.25

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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.