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Finding the Fourth Proportional to 566.15, 848.54 and 257.58

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Solution

The fourth proportional to 566.15, 848.54 and 257.58 is: 386.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.15 : 848.54 = 257.58 : x
  2. Step 2: Convert to fraction form
    566.15/848.54 = 257.58/x
  3. Step 3: Cross multiply
    566.15x = 848.54 × 257.58
  4. Step 4: Simplify right side
    566.15x = 218,566.93
  5. Step 5: Solve for x
    x = 218,566.93/566.15
  6. Step 6: Final answer
    x = 386.06

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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.