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Finding the Fourth Proportional to 730.05, 1,007.81 and 553.04

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Solution

The fourth proportional to 730.05, 1,007.81 and 553.04 is: 763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.05 : 1,007.81 = 553.04 : x
  2. Step 2: Convert to fraction form
    730.05/1,007.81 = 553.04/x
  3. Step 3: Cross multiply
    730.05x = 1,007.81 × 553.04
  4. Step 4: Simplify right side
    730.05x = 557,359.24
  5. Step 5: Solve for x
    x = 557,359.24/730.05
  6. Step 6: Final answer
    x = 763.45

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1.5x scale

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.