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Finding the Fourth Proportional to 565.61, 848.15 and 346.37

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Solution

The fourth proportional to 565.61, 848.15 and 346.37 is: 519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.61 : 848.15 = 346.37 : x
  2. Step 2: Convert to fraction form
    565.61/848.15 = 346.37/x
  3. Step 3: Cross multiply
    565.61x = 848.15 × 346.37
  4. Step 4: Simplify right side
    565.61x = 293,771.98
  5. Step 5: Solve for x
    x = 293,771.98/565.61
  6. Step 6: Final answer
    x = 519.39

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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.