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Finding the Fourth Proportional to 930.13, 1,283.94 and 697.93

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Solution

The fourth proportional to 930.13, 1,283.94 and 697.93 is: 963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.13 : 1,283.94 = 697.93 : x
  2. Step 2: Convert to fraction form
    930.13/1,283.94 = 697.93/x
  3. Step 3: Cross multiply
    930.13x = 1,283.94 × 697.93
  4. Step 4: Simplify right side
    930.13x = 896,100.24
  5. Step 5: Solve for x
    x = 896,100.24/930.13
  6. Step 6: Final answer
    x = 963.41

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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.