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Finding the Fourth Proportional to 1,277.70, 1,916.72 and 456.10

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Solution

The fourth proportional to 1,277.70, 1,916.72 and 456.10 is: 684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.70 : 1,916.72 = 456.10 : x
  2. Step 2: Convert to fraction form
    1,277.70/1,916.72 = 456.10/x
  3. Step 3: Cross multiply
    1,277.70x = 1,916.72 × 456.10
  4. Step 4: Simplify right side
    1,277.70x = 874,215.99
  5. Step 5: Solve for x
    x = 874,215.99/1,277.70
  6. Step 6: Final answer
    x = 684.21

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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.