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Finding the Fourth Proportional to 565.85, 848.16 and 257.63

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Solution

The fourth proportional to 565.85, 848.16 and 257.63 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.85 : 848.16 = 257.63 : x
  2. Step 2: Convert to fraction form
    565.85/848.16 = 257.63/x
  3. Step 3: Cross multiply
    565.85x = 848.16 × 257.63
  4. Step 4: Simplify right side
    565.85x = 218,507.22
  5. Step 5: Solve for x
    x = 218,507.22/565.85
  6. Step 6: Final answer
    x = 386.16

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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.