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Finding the Fourth Proportional to 578.93, 864.45 and 509.90

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Solution

The fourth proportional to 578.93, 864.45 and 509.90 is: 761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.93 : 864.45 = 509.90 : x
  2. Step 2: Convert to fraction form
    578.93/864.45 = 509.90/x
  3. Step 3: Cross multiply
    578.93x = 864.45 × 509.90
  4. Step 4: Simplify right side
    578.93x = 440,778.73
  5. Step 5: Solve for x
    x = 440,778.73/578.93
  6. Step 6: Final answer
    x = 761.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.