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Finding the Fourth Proportional to 730.10, 1,007.52 and 398.53

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Solution

The fourth proportional to 730.10, 1,007.52 and 398.53 is: 549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.10 : 1,007.52 = 398.53 : x
  2. Step 2: Convert to fraction form
    730.10/1,007.52 = 398.53/x
  3. Step 3: Cross multiply
    730.10x = 1,007.52 × 398.53
  4. Step 4: Simplify right side
    730.10x = 401,525.92
  5. Step 5: Solve for x
    x = 401,525.92/730.10
  6. Step 6: Final answer
    x = 549.96

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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.