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Finding the Fourth Proportional to 651.88, 899.28 and 442.06

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Solution

The fourth proportional to 651.88, 899.28 and 442.06 is: 609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.88 : 899.28 = 442.06 : x
  2. Step 2: Convert to fraction form
    651.88/899.28 = 442.06/x
  3. Step 3: Cross multiply
    651.88x = 899.28 × 442.06
  4. Step 4: Simplify right side
    651.88x = 397,535.72
  5. Step 5: Solve for x
    x = 397,535.72/651.88
  6. Step 6: Final answer
    x = 609.83

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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.