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Finding the Fourth Proportional to 978.09, 1,349.57 and 585.03

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Solution

The fourth proportional to 978.09, 1,349.57 and 585.03 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.09 : 1,349.57 = 585.03 : x
  2. Step 2: Convert to fraction form
    978.09/1,349.57 = 585.03/x
  3. Step 3: Cross multiply
    978.09x = 1,349.57 × 585.03
  4. Step 4: Simplify right side
    978.09x = 789,536.01
  5. Step 5: Solve for x
    x = 789,536.01/978.09
  6. Step 6: Final answer
    x = 807.22

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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.