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Finding the Fourth Proportional to 651.94, 900.15 and 419.47

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Solution

The fourth proportional to 651.94, 900.15 and 419.47 is: 579.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.94 : 900.15 = 419.47 : x
  2. Step 2: Convert to fraction form
    651.94/900.15 = 419.47/x
  3. Step 3: Cross multiply
    651.94x = 900.15 × 419.47
  4. Step 4: Simplify right side
    651.94x = 377,582.10
  5. Step 5: Solve for x
    x = 377,582.10/651.94
  6. Step 6: Final answer
    x = 579.17

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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.