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Finding the Fourth Proportional to 566.01, 848.72 and 257.93

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Solution

The fourth proportional to 566.01, 848.72 and 257.93 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.01 : 848.72 = 257.93 : x
  2. Step 2: Convert to fraction form
    566.01/848.72 = 257.93/x
  3. Step 3: Cross multiply
    566.01x = 848.72 × 257.93
  4. Step 4: Simplify right side
    566.01x = 218,912.89
  5. Step 5: Solve for x
    x = 218,912.89/566.01
  6. Step 6: Final answer
    x = 386.76

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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.