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Finding the Fourth Proportional to 613.32, 845.64 and 508.80

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Solution

The fourth proportional to 613.32, 845.64 and 508.80 is: 701.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 845.64 = 508.80 : x
  2. Step 2: Convert to fraction form
    613.32/845.64 = 508.80/x
  3. Step 3: Cross multiply
    613.32x = 845.64 × 508.80
  4. Step 4: Simplify right side
    613.32x = 430,261.63
  5. Step 5: Solve for x
    x = 430,261.63/613.32
  6. Step 6: Final answer
    x = 701.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.