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Finding the Fourth Proportional to 1,069.67, 1,476.42 and 697.58

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Solution

The fourth proportional to 1,069.67, 1,476.42 and 697.58 is: 962.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.67 : 1,476.42 = 697.58 : x
  2. Step 2: Convert to fraction form
    1,069.67/1,476.42 = 697.58/x
  3. Step 3: Cross multiply
    1,069.67x = 1,476.42 × 697.58
  4. Step 4: Simplify right side
    1,069.67x = 1,029,921.06
  5. Step 5: Solve for x
    x = 1,029,921.06/1,069.67
  6. Step 6: Final answer
    x = 962.84

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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.