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Finding the Fourth Proportional to 565.59, 847.01 and 346.36

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Solution

The fourth proportional to 565.59, 847.01 and 346.36 is: 518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.59 : 847.01 = 346.36 : x
  2. Step 2: Convert to fraction form
    565.59/847.01 = 346.36/x
  3. Step 3: Cross multiply
    565.59x = 847.01 × 346.36
  4. Step 4: Simplify right side
    565.59x = 293,370.38
  5. Step 5: Solve for x
    x = 293,370.38/565.59
  6. Step 6: Final answer
    x = 518.70

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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.