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Finding the Fourth Proportional to 983.44, 1,359.72 and 975.76

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Solution

The fourth proportional to 983.44, 1,359.72 and 975.76 is: 1,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.44 : 1,359.72 = 975.76 : x
  2. Step 2: Convert to fraction form
    983.44/1,359.72 = 975.76/x
  3. Step 3: Cross multiply
    983.44x = 1,359.72 × 975.76
  4. Step 4: Simplify right side
    983.44x = 1,326,760.39
  5. Step 5: Solve for x
    x = 1,326,760.39/983.44
  6. Step 6: Final answer
    x = 1,349.10

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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.