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Finding the Fourth Proportional to 1,006.07, 1,507.08 and 920.40

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Solution

The fourth proportional to 1,006.07, 1,507.08 and 920.40 is: 1,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.07 : 1,507.08 = 920.40 : x
  2. Step 2: Convert to fraction form
    1,006.07/1,507.08 = 920.40/x
  3. Step 3: Cross multiply
    1,006.07x = 1,507.08 × 920.40
  4. Step 4: Simplify right side
    1,006.07x = 1,387,116.43
  5. Step 5: Solve for x
    x = 1,387,116.43/1,006.07
  6. Step 6: Final answer
    x = 1,378.75

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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.