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Finding the Fourth Proportional to 820.18, 1,225.13 and 613.63

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Solution

The fourth proportional to 820.18, 1,225.13 and 613.63 is: 916.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.18 : 1,225.13 = 613.63 : x
  2. Step 2: Convert to fraction form
    820.18/1,225.13 = 613.63/x
  3. Step 3: Cross multiply
    820.18x = 1,225.13 × 613.63
  4. Step 4: Simplify right side
    820.18x = 751,776.52
  5. Step 5: Solve for x
    x = 751,776.52/820.18
  6. Step 6: Final answer
    x = 916.60

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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.