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Finding the Fourth Proportional to 570.40, 786.50 and 420.34

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Solution

The fourth proportional to 570.40, 786.50 and 420.34 is: 579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.40 : 786.50 = 420.34 : x
  2. Step 2: Convert to fraction form
    570.40/786.50 = 420.34/x
  3. Step 3: Cross multiply
    570.40x = 786.50 × 420.34
  4. Step 4: Simplify right side
    570.40x = 330,597.41
  5. Step 5: Solve for x
    x = 330,597.41/570.40
  6. Step 6: Final answer
    x = 579.59

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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.