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Finding the Fourth Proportional to 565.79, 846.70 and 346.31

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Solution

The fourth proportional to 565.79, 846.70 and 346.31 is: 518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.79 : 846.70 = 346.31 : x
  2. Step 2: Convert to fraction form
    565.79/846.70 = 346.31/x
  3. Step 3: Cross multiply
    565.79x = 846.70 × 346.31
  4. Step 4: Simplify right side
    565.79x = 293,224.27
  5. Step 5: Solve for x
    x = 293,224.27/565.79
  6. Step 6: Final answer
    x = 518.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.