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Finding the Fourth Proportional to 750.90, 1,035.73 and 688.94

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Solution

The fourth proportional to 750.90, 1,035.73 and 688.94 is: 950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.90 : 1,035.73 = 688.94 : x
  2. Step 2: Convert to fraction form
    750.90/1,035.73 = 688.94/x
  3. Step 3: Cross multiply
    750.90x = 1,035.73 × 688.94
  4. Step 4: Simplify right side
    750.90x = 713,551.52
  5. Step 5: Solve for x
    x = 713,551.52/750.90
  6. Step 6: Final answer
    x = 950.26

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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.