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Finding the Fourth Proportional to 978.49, 1,350.74 and 585.44

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Solution

The fourth proportional to 978.49, 1,350.74 and 585.44 is: 808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.49 : 1,350.74 = 585.44 : x
  2. Step 2: Convert to fraction form
    978.49/1,350.74 = 585.44/x
  3. Step 3: Cross multiply
    978.49x = 1,350.74 × 585.44
  4. Step 4: Simplify right side
    978.49x = 790,777.23
  5. Step 5: Solve for x
    x = 790,777.23/978.49
  6. Step 6: Final answer
    x = 808.16

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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.