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Finding the Fourth Proportional to 945.41, 1,302.54 and 720.93

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Solution

The fourth proportional to 945.41, 1,302.54 and 720.93 is: 993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.41 : 1,302.54 = 720.93 : x
  2. Step 2: Convert to fraction form
    945.41/1,302.54 = 720.93/x
  3. Step 3: Cross multiply
    945.41x = 1,302.54 × 720.93
  4. Step 4: Simplify right side
    945.41x = 939,040.16
  5. Step 5: Solve for x
    x = 939,040.16/945.41
  6. Step 6: Final answer
    x = 993.27

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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.