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Finding the Fourth Proportional to 612.75, 913.32 and 577.26

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Solution

The fourth proportional to 612.75, 913.32 and 577.26 is: 860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.75 : 913.32 = 577.26 : x
  2. Step 2: Convert to fraction form
    612.75/913.32 = 577.26/x
  3. Step 3: Cross multiply
    612.75x = 913.32 × 577.26
  4. Step 4: Simplify right side
    612.75x = 527,223.10
  5. Step 5: Solve for x
    x = 527,223.10/612.75
  6. Step 6: Final answer
    x = 860.42

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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.