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Finding the Fourth Proportional to 1,007.40, 1,514.70 and 985.80

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Solution

The fourth proportional to 1,007.40, 1,514.70 and 985.80 is: 1,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.40 : 1,514.70 = 985.80 : x
  2. Step 2: Convert to fraction form
    1,007.40/1,514.70 = 985.80/x
  3. Step 3: Cross multiply
    1,007.40x = 1,514.70 × 985.80
  4. Step 4: Simplify right side
    1,007.40x = 1,493,191.26
  5. Step 5: Solve for x
    x = 1,493,191.26/1,007.40
  6. Step 6: Final answer
    x = 1,482.22

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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.