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Finding the Fourth Proportional to 929.84, 1,394.99 and 656.47

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Solution

The fourth proportional to 929.84, 1,394.99 and 656.47 is: 984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.84 : 1,394.99 = 656.47 : x
  2. Step 2: Convert to fraction form
    929.84/1,394.99 = 656.47/x
  3. Step 3: Cross multiply
    929.84x = 1,394.99 × 656.47
  4. Step 4: Simplify right side
    929.84x = 915,763.75
  5. Step 5: Solve for x
    x = 915,763.75/929.84
  6. Step 6: Final answer
    x = 984.86

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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.