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Finding the Fourth Proportional to 651.47, 899.12 and 419.27

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Solution

The fourth proportional to 651.47, 899.12 and 419.27 is: 578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.47 : 899.12 = 419.27 : x
  2. Step 2: Convert to fraction form
    651.47/899.12 = 419.27/x
  3. Step 3: Cross multiply
    651.47x = 899.12 × 419.27
  4. Step 4: Simplify right side
    651.47x = 376,971.95
  5. Step 5: Solve for x
    x = 376,971.95/651.47
  6. Step 6: Final answer
    x = 578.65

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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.