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Finding the Fourth Proportional to 930.84, 1,285.42 and 697.56

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Solution

The fourth proportional to 930.84, 1,285.42 and 697.56 is: 963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.84 : 1,285.42 = 697.56 : x
  2. Step 2: Convert to fraction form
    930.84/1,285.42 = 697.56/x
  3. Step 3: Cross multiply
    930.84x = 1,285.42 × 697.56
  4. Step 4: Simplify right side
    930.84x = 896,657.58
  5. Step 5: Solve for x
    x = 896,657.58/930.84
  6. Step 6: Final answer
    x = 963.28

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1.5x scale

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.