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Finding the Fourth Proportional to 1,009.04, 1,514.10 and 935.60

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Solution

The fourth proportional to 1,009.04, 1,514.10 and 935.60 is: 1,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.04 : 1,514.10 = 935.60 : x
  2. Step 2: Convert to fraction form
    1,009.04/1,514.10 = 935.60/x
  3. Step 3: Cross multiply
    1,009.04x = 1,514.10 × 935.60
  4. Step 4: Simplify right side
    1,009.04x = 1,416,591.96
  5. Step 5: Solve for x
    x = 1,416,591.96/1,009.04
  6. Step 6: Final answer
    x = 1,403.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.