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Finding the Fourth Proportional to 835.13, 1,151.53 and 624.63

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Solution

The fourth proportional to 835.13, 1,151.53 and 624.63 is: 861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.13 : 1,151.53 = 624.63 : x
  2. Step 2: Convert to fraction form
    835.13/1,151.53 = 624.63/x
  3. Step 3: Cross multiply
    835.13x = 1,151.53 × 624.63
  4. Step 4: Simplify right side
    835.13x = 719,277.12
  5. Step 5: Solve for x
    x = 719,277.12/835.13
  6. Step 6: Final answer
    x = 861.28

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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.