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Finding the Fourth Proportional to 565.62, 852.21 and 510.84

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Solution

The fourth proportional to 565.62, 852.21 and 510.84 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.62 : 852.21 = 510.84 : x
  2. Step 2: Convert to fraction form
    565.62/852.21 = 510.84/x
  3. Step 3: Cross multiply
    565.62x = 852.21 × 510.84
  4. Step 4: Simplify right side
    565.62x = 435,346.36
  5. Step 5: Solve for x
    x = 435,346.36/565.62
  6. Step 6: Final answer
    x = 769.68

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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.