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Finding the Fourth Proportional to 978.77, 1,351.07 and 585.81

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Solution

The fourth proportional to 978.77, 1,351.07 and 585.81 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.77 : 1,351.07 = 585.81 : x
  2. Step 2: Convert to fraction form
    978.77/1,351.07 = 585.81/x
  3. Step 3: Cross multiply
    978.77x = 1,351.07 × 585.81
  4. Step 4: Simplify right side
    978.77x = 791,467.39
  5. Step 5: Solve for x
    x = 791,467.39/978.77
  6. Step 6: Final answer
    x = 808.64

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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.