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Finding the Fourth Proportional to 1,460.89, 2,191.68 and 420.87

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Solution

The fourth proportional to 1,460.89, 2,191.68 and 420.87 is: 631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.89 : 2,191.68 = 420.87 : x
  2. Step 2: Convert to fraction form
    1,460.89/2,191.68 = 420.87/x
  3. Step 3: Cross multiply
    1,460.89x = 2,191.68 × 420.87
  4. Step 4: Simplify right side
    1,460.89x = 922,409.83
  5. Step 5: Solve for x
    x = 922,409.83/1,460.89
  6. Step 6: Final answer
    x = 631.40

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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.