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Finding the Fourth Proportional to 654.31, 898.13 and 578.98

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Solution

The fourth proportional to 654.31, 898.13 and 578.98 is: 794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.31 : 898.13 = 578.98 : x
  2. Step 2: Convert to fraction form
    654.31/898.13 = 578.98/x
  3. Step 3: Cross multiply
    654.31x = 898.13 × 578.98
  4. Step 4: Simplify right side
    654.31x = 519,999.31
  5. Step 5: Solve for x
    x = 519,999.31/654.31
  6. Step 6: Final answer
    x = 794.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.