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Finding the Fourth Proportional to 929.56, 1,392.50 and 698.71

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Solution

The fourth proportional to 929.56, 1,392.50 and 698.71 is: 1,046.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.56 : 1,392.50 = 698.71 : x
  2. Step 2: Convert to fraction form
    929.56/1,392.50 = 698.71/x
  3. Step 3: Cross multiply
    929.56x = 1,392.50 × 698.71
  4. Step 4: Simplify right side
    929.56x = 972,953.68
  5. Step 5: Solve for x
    x = 972,953.68/929.56
  6. Step 6: Final answer
    x = 1,046.68

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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.