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Finding the Fourth Proportional to 570.58, 786.98 and 404.84

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Solution

The fourth proportional to 570.58, 786.98 and 404.84 is: 558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.58 : 786.98 = 404.84 : x
  2. Step 2: Convert to fraction form
    570.58/786.98 = 404.84/x
  3. Step 3: Cross multiply
    570.58x = 786.98 × 404.84
  4. Step 4: Simplify right side
    570.58x = 318,600.98
  5. Step 5: Solve for x
    x = 318,600.98/570.58
  6. Step 6: Final answer
    x = 558.38

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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.