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Finding the Fourth Proportional to 794.21, 1,185.51 and 735.58

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Solution

The fourth proportional to 794.21, 1,185.51 and 735.58 is: 1,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.21 : 1,185.51 = 735.58 : x
  2. Step 2: Convert to fraction form
    794.21/1,185.51 = 735.58/x
  3. Step 3: Cross multiply
    794.21x = 1,185.51 × 735.58
  4. Step 4: Simplify right side
    794.21x = 872,044.19
  5. Step 5: Solve for x
    x = 872,044.19/794.21
  6. Step 6: Final answer
    x = 1,098.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.