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Finding the Fourth Proportional to 979.21, 1,461.14 and 875.63

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Solution

The fourth proportional to 979.21, 1,461.14 and 875.63 is: 1,306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.21 : 1,461.14 = 875.63 : x
  2. Step 2: Convert to fraction form
    979.21/1,461.14 = 875.63/x
  3. Step 3: Cross multiply
    979.21x = 1,461.14 × 875.63
  4. Step 4: Simplify right side
    979.21x = 1,279,418.02
  5. Step 5: Solve for x
    x = 1,279,418.02/979.21
  6. Step 6: Final answer
    x = 1,306.58

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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.