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Finding the Fourth Proportional to 866.50, 1,298.36 and 476.48

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Solution

The fourth proportional to 866.50, 1,298.36 and 476.48 is: 713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.50 : 1,298.36 = 476.48 : x
  2. Step 2: Convert to fraction form
    866.50/1,298.36 = 476.48/x
  3. Step 3: Cross multiply
    866.50x = 1,298.36 × 476.48
  4. Step 4: Simplify right side
    866.50x = 618,647.01
  5. Step 5: Solve for x
    x = 618,647.01/866.50
  6. Step 6: Final answer
    x = 713.96

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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.