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Finding the Fourth Proportional to 578.35, 870.62 and 518.81

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Solution

The fourth proportional to 578.35, 870.62 and 518.81 is: 781.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.35 : 870.62 = 518.81 : x
  2. Step 2: Convert to fraction form
    578.35/870.62 = 518.81/x
  3. Step 3: Cross multiply
    578.35x = 870.62 × 518.81
  4. Step 4: Simplify right side
    578.35x = 451,686.92
  5. Step 5: Solve for x
    x = 451,686.92/578.35
  6. Step 6: Final answer
    x = 781.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.