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Finding the Fourth Proportional to 829.99, 1,250.53 and 750.93

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Solution

The fourth proportional to 829.99, 1,250.53 and 750.93 is: 1,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.99 : 1,250.53 = 750.93 : x
  2. Step 2: Convert to fraction form
    829.99/1,250.53 = 750.93/x
  3. Step 3: Cross multiply
    829.99x = 1,250.53 × 750.93
  4. Step 4: Simplify right side
    829.99x = 939,056.74
  5. Step 5: Solve for x
    x = 939,056.74/829.99
  6. Step 6: Final answer
    x = 1,131.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.