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Finding the Fourth Proportional to 564.69, 780.02 and 512.29

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Solution

The fourth proportional to 564.69, 780.02 and 512.29 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 780.02 = 512.29 : x
  2. Step 2: Convert to fraction form
    564.69/780.02 = 512.29/x
  3. Step 3: Cross multiply
    564.69x = 780.02 × 512.29
  4. Step 4: Simplify right side
    564.69x = 399,596.45
  5. Step 5: Solve for x
    x = 399,596.45/564.69
  6. Step 6: Final answer
    x = 707.64

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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.