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Finding the Fourth Proportional to 565.71, 775.68 and 510.21

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Solution

The fourth proportional to 565.71, 775.68 and 510.21 is: 699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 775.68 = 510.21 : x
  2. Step 2: Convert to fraction form
    565.71/775.68 = 510.21/x
  3. Step 3: Cross multiply
    565.71x = 775.68 × 510.21
  4. Step 4: Simplify right side
    565.71x = 395,759.69
  5. Step 5: Solve for x
    x = 395,759.69/565.71
  6. Step 6: Final answer
    x = 699.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.