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Finding the Fourth Proportional to 1,108.63, 1,528.65 and 709.76

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Solution

The fourth proportional to 1,108.63, 1,528.65 and 709.76 is: 978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.63 : 1,528.65 = 709.76 : x
  2. Step 2: Convert to fraction form
    1,108.63/1,528.65 = 709.76/x
  3. Step 3: Cross multiply
    1,108.63x = 1,528.65 × 709.76
  4. Step 4: Simplify right side
    1,108.63x = 1,084,974.62
  5. Step 5: Solve for x
    x = 1,084,974.62/1,108.63
  6. Step 6: Final answer
    x = 978.66

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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.