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Finding the Fourth Proportional to 983.55, 1,357.98 and 689.21

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Solution

The fourth proportional to 983.55, 1,357.98 and 689.21 is: 951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.55 : 1,357.98 = 689.21 : x
  2. Step 2: Convert to fraction form
    983.55/1,357.98 = 689.21/x
  3. Step 3: Cross multiply
    983.55x = 1,357.98 × 689.21
  4. Step 4: Simplify right side
    983.55x = 935,933.40
  5. Step 5: Solve for x
    x = 935,933.40/983.55
  6. Step 6: Final answer
    x = 951.59

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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.