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Finding the Fourth Proportional to 624.17, 860.63 and 505.82

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Solution

The fourth proportional to 624.17, 860.63 and 505.82 is: 697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.17 : 860.63 = 505.82 : x
  2. Step 2: Convert to fraction form
    624.17/860.63 = 505.82/x
  3. Step 3: Cross multiply
    624.17x = 860.63 × 505.82
  4. Step 4: Simplify right side
    624.17x = 435,317.03
  5. Step 5: Solve for x
    x = 435,317.03/624.17
  6. Step 6: Final answer
    x = 697.44

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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.