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Finding the Fourth Proportional to 977.67, 1,349.19 and 585.09

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Solution

The fourth proportional to 977.67, 1,349.19 and 585.09 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,349.19 = 585.09 : x
  2. Step 2: Convert to fraction form
    977.67/1,349.19 = 585.09/x
  3. Step 3: Cross multiply
    977.67x = 1,349.19 × 585.09
  4. Step 4: Simplify right side
    977.67x = 789,397.58
  5. Step 5: Solve for x
    x = 789,397.58/977.67
  6. Step 6: Final answer
    x = 807.43

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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.