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Finding the Fourth Proportional to 624.24, 860.70 and 511.82

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Solution

The fourth proportional to 624.24, 860.70 and 511.82 is: 705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 860.70 = 511.82 : x
  2. Step 2: Convert to fraction form
    624.24/860.70 = 511.82/x
  3. Step 3: Cross multiply
    624.24x = 860.70 × 511.82
  4. Step 4: Simplify right side
    624.24x = 440,523.47
  5. Step 5: Solve for x
    x = 440,523.47/624.24
  6. Step 6: Final answer
    x = 705.70

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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.