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Finding the Fourth Proportional to 1,460.92, 2,191.71 and 420.93

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Solution

The fourth proportional to 1,460.92, 2,191.71 and 420.93 is: 631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.92 : 2,191.71 = 420.93 : x
  2. Step 2: Convert to fraction form
    1,460.92/2,191.71 = 420.93/x
  3. Step 3: Cross multiply
    1,460.92x = 2,191.71 × 420.93
  4. Step 4: Simplify right side
    1,460.92x = 922,551.01
  5. Step 5: Solve for x
    x = 922,551.01/1,460.92
  6. Step 6: Final answer
    x = 631.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.