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Finding the Fourth Proportional to 656.77, 985.22 and 291.36

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Solution

The fourth proportional to 656.77, 985.22 and 291.36 is: 437.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.77 : 985.22 = 291.36 : x
  2. Step 2: Convert to fraction form
    656.77/985.22 = 291.36/x
  3. Step 3: Cross multiply
    656.77x = 985.22 × 291.36
  4. Step 4: Simplify right side
    656.77x = 287,053.70
  5. Step 5: Solve for x
    x = 287,053.70/656.77
  6. Step 6: Final answer
    x = 437.07

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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.