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Finding the Fourth Proportional to 564.87, 851.08 and 510.09

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Solution

The fourth proportional to 564.87, 851.08 and 510.09 is: 768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.87 : 851.08 = 510.09 : x
  2. Step 2: Convert to fraction form
    564.87/851.08 = 510.09/x
  3. Step 3: Cross multiply
    564.87x = 851.08 × 510.09
  4. Step 4: Simplify right side
    564.87x = 434,127.40
  5. Step 5: Solve for x
    x = 434,127.40/564.87
  6. Step 6: Final answer
    x = 768.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.