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Finding the Fourth Proportional to 577.51, 866.18 and 284.93

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Solution

The fourth proportional to 577.51, 866.18 and 284.93 is: 427.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.51 : 866.18 = 284.93 : x
  2. Step 2: Convert to fraction form
    577.51/866.18 = 284.93/x
  3. Step 3: Cross multiply
    577.51x = 866.18 × 284.93
  4. Step 4: Simplify right side
    577.51x = 246,803.57
  5. Step 5: Solve for x
    x = 246,803.57/577.51
  6. Step 6: Final answer
    x = 427.36

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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.