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Finding the Fourth Proportional to 978.99, 1,351.20 and 586.27

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Solution

The fourth proportional to 978.99, 1,351.20 and 586.27 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.99 : 1,351.20 = 586.27 : x
  2. Step 2: Convert to fraction form
    978.99/1,351.20 = 586.27/x
  3. Step 3: Cross multiply
    978.99x = 1,351.20 × 586.27
  4. Step 4: Simplify right side
    978.99x = 792,168.02
  5. Step 5: Solve for x
    x = 792,168.02/978.99
  6. Step 6: Final answer
    x = 809.17

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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.