Home / 1,278.28-1,916.52-497.64

Finding the Fourth Proportional to 1,278.28, 1,916.52 and 497.64

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Solution

The fourth proportional to 1,278.28, 1,916.52 and 497.64 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.28 : 1,916.52 = 497.64 : x
  2. Step 2: Convert to fraction form
    1,278.28/1,916.52 = 497.64/x
  3. Step 3: Cross multiply
    1,278.28x = 1,916.52 × 497.64
  4. Step 4: Simplify right side
    1,278.28x = 953,737.01
  5. Step 5: Solve for x
    x = 953,737.01/1,278.28
  6. Step 6: Final answer
    x = 746.11

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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.