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Finding the Fourth Proportional to 749, 1,032.54 and 661.16

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Solution

The fourth proportional to 749, 1,032.54 and 661.16 is: 911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    749 : 1,032.54 = 661.16 : x
  2. Step 2: Convert to fraction form
    749/1,032.54 = 661.16/x
  3. Step 3: Cross multiply
    749x = 1,032.54 × 661.16
  4. Step 4: Simplify right side
    749x = 682,674.15
  5. Step 5: Solve for x
    x = 682,674.15/749
  6. Step 6: Final answer
    x = 911.45

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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.