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Finding the Fourth Proportional to 565.00, 851.27 and 510.22

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Solution

The fourth proportional to 565.00, 851.27 and 510.22 is: 768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.00 : 851.27 = 510.22 : x
  2. Step 2: Convert to fraction form
    565.00/851.27 = 510.22/x
  3. Step 3: Cross multiply
    565.00x = 851.27 × 510.22
  4. Step 4: Simplify right side
    565.00x = 434,332.21
  5. Step 5: Solve for x
    x = 434,332.21/565.00
  6. Step 6: Final answer
    x = 768.73

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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.