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Finding the Fourth Proportional to 570, 790.80 and 564.60

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Solution

The fourth proportional to 570, 790.80 and 564.60 is: 783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 790.80 = 564.60 : x
  2. Step 2: Convert to fraction form
    570/790.80 = 564.60/x
  3. Step 3: Cross multiply
    570x = 790.80 × 564.60
  4. Step 4: Simplify right side
    570x = 446,485.68
  5. Step 5: Solve for x
    x = 446,485.68/570
  6. Step 6: Final answer
    x = 783.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.