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Finding the Fourth Proportional to 624.15, 860.36 and 506.30

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Solution

The fourth proportional to 624.15, 860.36 and 506.30 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.15 : 860.36 = 506.30 : x
  2. Step 2: Convert to fraction form
    624.15/860.36 = 506.30/x
  3. Step 3: Cross multiply
    624.15x = 860.36 × 506.30
  4. Step 4: Simplify right side
    624.15x = 435,593.43
  5. Step 5: Solve for x
    x = 435,593.43/624.15
  6. Step 6: Final answer
    x = 697.90

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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.