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Finding the Fourth Proportional to 578.04, 870.14 and 518.50

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Solution

The fourth proportional to 578.04, 870.14 and 518.50 is: 780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 870.14 = 518.50 : x
  2. Step 2: Convert to fraction form
    578.04/870.14 = 518.50/x
  3. Step 3: Cross multiply
    578.04x = 870.14 × 518.50
  4. Step 4: Simplify right side
    578.04x = 451,167.59
  5. Step 5: Solve for x
    x = 451,167.59/578.04
  6. Step 6: Final answer
    x = 780.51

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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.