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Finding the Fourth Proportional to 730.21, 1,006.12 and 496.93

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Solution

The fourth proportional to 730.21, 1,006.12 and 496.93 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.21 : 1,006.12 = 496.93 : x
  2. Step 2: Convert to fraction form
    730.21/1,006.12 = 496.93/x
  3. Step 3: Cross multiply
    730.21x = 1,006.12 × 496.93
  4. Step 4: Simplify right side
    730.21x = 499,971.21
  5. Step 5: Solve for x
    x = 499,971.21/730.21
  6. Step 6: Final answer
    x = 684.70

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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.