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Finding the Fourth Proportional to 565.39, 780.21 and 313.31

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Solution

The fourth proportional to 565.39, 780.21 and 313.31 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.39 : 780.21 = 313.31 : x
  2. Step 2: Convert to fraction form
    565.39/780.21 = 313.31/x
  3. Step 3: Cross multiply
    565.39x = 780.21 × 313.31
  4. Step 4: Simplify right side
    565.39x = 244,443.69
  5. Step 5: Solve for x
    x = 244,443.69/565.39
  6. Step 6: Final answer
    x = 432.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.