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Finding the Fourth Proportional to 813.26, 1,225.00 and 740.59

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Solution

The fourth proportional to 813.26, 1,225.00 and 740.59 is: 1,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.26 : 1,225.00 = 740.59 : x
  2. Step 2: Convert to fraction form
    813.26/1,225.00 = 740.59/x
  3. Step 3: Cross multiply
    813.26x = 1,225.00 × 740.59
  4. Step 4: Simplify right side
    813.26x = 907,220.61
  5. Step 5: Solve for x
    x = 907,220.61/813.26
  6. Step 6: Final answer
    x = 1,115.53

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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.