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Finding the Fourth Proportional to 570.46, 786.98 and 452.48

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Solution

The fourth proportional to 570.46, 786.98 and 452.48 is: 624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.46 : 786.98 = 452.48 : x
  2. Step 2: Convert to fraction form
    570.46/786.98 = 452.48/x
  3. Step 3: Cross multiply
    570.46x = 786.98 × 452.48
  4. Step 4: Simplify right side
    570.46x = 356,092.71
  5. Step 5: Solve for x
    x = 356,092.71/570.46
  6. Step 6: Final answer
    x = 624.22

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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.