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Finding the Fourth Proportional to 582.96, 809.31 and 565.14

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Solution

The fourth proportional to 582.96, 809.31 and 565.14 is: 784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 809.31 = 565.14 : x
  2. Step 2: Convert to fraction form
    582.96/809.31 = 565.14/x
  3. Step 3: Cross multiply
    582.96x = 809.31 × 565.14
  4. Step 4: Simplify right side
    582.96x = 457,373.45
  5. Step 5: Solve for x
    x = 457,373.45/582.96
  6. Step 6: Final answer
    x = 784.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.