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Finding the Fourth Proportional to 570.98, 786.81 and 396.02

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Solution

The fourth proportional to 570.98, 786.81 and 396.02 is: 545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.98 : 786.81 = 396.02 : x
  2. Step 2: Convert to fraction form
    570.98/786.81 = 396.02/x
  3. Step 3: Cross multiply
    570.98x = 786.81 × 396.02
  4. Step 4: Simplify right side
    570.98x = 311,595.95
  5. Step 5: Solve for x
    x = 311,595.95/570.98
  6. Step 6: Final answer
    x = 545.72

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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.