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Finding the Fourth Proportional to 656.25, 983.66 and 424.59

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Solution

The fourth proportional to 656.25, 983.66 and 424.59 is: 636.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 983.66 = 424.59 : x
  2. Step 2: Convert to fraction form
    656.25/983.66 = 424.59/x
  3. Step 3: Cross multiply
    656.25x = 983.66 × 424.59
  4. Step 4: Simplify right side
    656.25x = 417,650.08
  5. Step 5: Solve for x
    x = 417,650.08/656.25
  6. Step 6: Final answer
    x = 636.42

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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.