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Finding the Fourth Proportional to 730.84, 1,101.37 and 624.04

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Solution

The fourth proportional to 730.84, 1,101.37 and 624.04 is: 940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.84 : 1,101.37 = 624.04 : x
  2. Step 2: Convert to fraction form
    730.84/1,101.37 = 624.04/x
  3. Step 3: Cross multiply
    730.84x = 1,101.37 × 624.04
  4. Step 4: Simplify right side
    730.84x = 687,298.93
  5. Step 5: Solve for x
    x = 687,298.93/730.84
  6. Step 6: Final answer
    x = 940.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.