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Finding the Fourth Proportional to 983.37, 1,484.45 and 977.91

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Solution

The fourth proportional to 983.37, 1,484.45 and 977.91 is: 1,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.37 : 1,484.45 = 977.91 : x
  2. Step 2: Convert to fraction form
    983.37/1,484.45 = 977.91/x
  3. Step 3: Cross multiply
    983.37x = 1,484.45 × 977.91
  4. Step 4: Simplify right side
    983.37x = 1,451,653.61
  5. Step 5: Solve for x
    x = 1,451,653.61/983.37
  6. Step 6: Final answer
    x = 1,476.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.