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Finding the Fourth Proportional to 624.86, 860.19 and 537.02

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Solution

The fourth proportional to 624.86, 860.19 and 537.02 is: 739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.86 : 860.19 = 537.02 : x
  2. Step 2: Convert to fraction form
    624.86/860.19 = 537.02/x
  3. Step 3: Cross multiply
    624.86x = 860.19 × 537.02
  4. Step 4: Simplify right side
    624.86x = 461,939.23
  5. Step 5: Solve for x
    x = 461,939.23/624.86
  6. Step 6: Final answer
    x = 739.27

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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.