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Finding the Fourth Proportional to 1,007.40, 1,514.30 and 930.60

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Solution

The fourth proportional to 1,007.40, 1,514.30 and 930.60 is: 1,398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,514.30 = 930.60 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,514.30 = 930.60/x
  3. Step 3: Cross multiply
    1,007.40x = 1,514.30 × 930.60
  4. Step 4: Simplify right side
    1,007.40x = 1,409,207.58
  5. Step 5: Solve for x
    x = 1,409,207.58/1,007.40
  6. Step 6: Final answer
    x = 1,398.86

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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.