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Finding the Fourth Proportional to 930.04, 1,281.90 and 742.93

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Solution

The fourth proportional to 930.04, 1,281.90 and 742.93 is: 1,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.04 : 1,281.90 = 742.93 : x
  2. Step 2: Convert to fraction form
    930.04/1,281.90 = 742.93/x
  3. Step 3: Cross multiply
    930.04x = 1,281.90 × 742.93
  4. Step 4: Simplify right side
    930.04x = 952,361.97
  5. Step 5: Solve for x
    x = 952,361.97/930.04
  6. Step 6: Final answer
    x = 1,024.00

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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.