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Finding the Fourth Proportional to 736.30, 1,106.10 and 614.80

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Solution

The fourth proportional to 736.30, 1,106.10 and 614.80 is: 923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.30 : 1,106.10 = 614.80 : x
  2. Step 2: Convert to fraction form
    736.30/1,106.10 = 614.80/x
  3. Step 3: Cross multiply
    736.30x = 1,106.10 × 614.80
  4. Step 4: Simplify right side
    736.30x = 680,030.28
  5. Step 5: Solve for x
    x = 680,030.28/736.30
  6. Step 6: Final answer
    x = 923.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.