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Finding the Fourth Proportional to 564.60, 780.30 and 564.60

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Solution

The fourth proportional to 564.60, 780.30 and 564.60 is: 780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.60 : 780.30 = 564.60 : x
  2. Step 2: Convert to fraction form
    564.60/780.30 = 564.60/x
  3. Step 3: Cross multiply
    564.60x = 780.30 × 564.60
  4. Step 4: Simplify right side
    564.60x = 440,557.38
  5. Step 5: Solve for x
    x = 440,557.38/564.60
  6. Step 6: Final answer
    x = 780.30

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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.