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Finding the Fourth Proportional to 613.10, 914.93 and 561.26

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Solution

The fourth proportional to 613.10, 914.93 and 561.26 is: 837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.10 : 914.93 = 561.26 : x
  2. Step 2: Convert to fraction form
    613.10/914.93 = 561.26/x
  3. Step 3: Cross multiply
    613.10x = 914.93 × 561.26
  4. Step 4: Simplify right side
    613.10x = 513,506.23
  5. Step 5: Solve for x
    x = 513,506.23/613.10
  6. Step 6: Final answer
    x = 837.56

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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.