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Finding the Fourth Proportional to 979.47, 1,460.12 and 964.49

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Solution

The fourth proportional to 979.47, 1,460.12 and 964.49 is: 1,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.47 : 1,460.12 = 964.49 : x
  2. Step 2: Convert to fraction form
    979.47/1,460.12 = 964.49/x
  3. Step 3: Cross multiply
    979.47x = 1,460.12 × 964.49
  4. Step 4: Simplify right side
    979.47x = 1,408,259.02
  5. Step 5: Solve for x
    x = 1,408,259.02/979.47
  6. Step 6: Final answer
    x = 1,437.78

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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.