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Finding the Fourth Proportional to 929.99, 1,282.33 and 696.71

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Solution

The fourth proportional to 929.99, 1,282.33 and 696.71 is: 960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.99 : 1,282.33 = 696.71 : x
  2. Step 2: Convert to fraction form
    929.99/1,282.33 = 696.71/x
  3. Step 3: Cross multiply
    929.99x = 1,282.33 × 696.71
  4. Step 4: Simplify right side
    929.99x = 893,412.13
  5. Step 5: Solve for x
    x = 893,412.13/929.99
  6. Step 6: Final answer
    x = 960.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.