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Finding the Fourth Proportional to 979.21, 1,458.86 and 932.77

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Solution

The fourth proportional to 979.21, 1,458.86 and 932.77 is: 1,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.21 : 1,458.86 = 932.77 : x
  2. Step 2: Convert to fraction form
    979.21/1,458.86 = 932.77/x
  3. Step 3: Cross multiply
    979.21x = 1,458.86 × 932.77
  4. Step 4: Simplify right side
    979.21x = 1,360,780.84
  5. Step 5: Solve for x
    x = 1,360,780.84/979.21
  6. Step 6: Final answer
    x = 1,389.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.