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Finding the Fourth Proportional to 565.57, 848.68 and 305.57

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Solution

The fourth proportional to 565.57, 848.68 and 305.57 is: 458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 848.68 = 305.57 : x
  2. Step 2: Convert to fraction form
    565.57/848.68 = 305.57/x
  3. Step 3: Cross multiply
    565.57x = 848.68 × 305.57
  4. Step 4: Simplify right side
    565.57x = 259,331.15
  5. Step 5: Solve for x
    x = 259,331.15/565.57
  6. Step 6: Final answer
    x = 458.53

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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.