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Finding the Fourth Proportional to 977.61, 1,346.04 and 829.92

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Solution

The fourth proportional to 977.61, 1,346.04 and 829.92 is: 1,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.61 : 1,346.04 = 829.92 : x
  2. Step 2: Convert to fraction form
    977.61/1,346.04 = 829.92/x
  3. Step 3: Cross multiply
    977.61x = 1,346.04 × 829.92
  4. Step 4: Simplify right side
    977.61x = 1,117,105.52
  5. Step 5: Solve for x
    x = 1,117,105.52/977.61
  6. Step 6: Final answer
    x = 1,142.69

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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.