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Finding the Fourth Proportional to 978.81, 1,350.62 and 585.75

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Solution

The fourth proportional to 978.81, 1,350.62 and 585.75 is: 808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.81 : 1,350.62 = 585.75 : x
  2. Step 2: Convert to fraction form
    978.81/1,350.62 = 585.75/x
  3. Step 3: Cross multiply
    978.81x = 1,350.62 × 585.75
  4. Step 4: Simplify right side
    978.81x = 791,122.74
  5. Step 5: Solve for x
    x = 791,122.74/978.81
  6. Step 6: Final answer
    x = 808.25

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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.