Home / 1,277.84-1,916.56-456.13

Finding the Fourth Proportional to 1,277.84, 1,916.56 and 456.13

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Solution

The fourth proportional to 1,277.84, 1,916.56 and 456.13 is: 684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.84 : 1,916.56 = 456.13 : x
  2. Step 2: Convert to fraction form
    1,277.84/1,916.56 = 456.13/x
  3. Step 3: Cross multiply
    1,277.84x = 1,916.56 × 456.13
  4. Step 4: Simplify right side
    1,277.84x = 874,203.48
  5. Step 5: Solve for x
    x = 874,203.48/1,277.84
  6. Step 6: Final answer
    x = 684.12

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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.