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Finding the Fourth Proportional to 1,278.64, 1,916.21 and 583.66

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Solution

The fourth proportional to 1,278.64, 1,916.21 and 583.66 is: 874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.64 : 1,916.21 = 583.66 : x
  2. Step 2: Convert to fraction form
    1,278.64/1,916.21 = 583.66/x
  3. Step 3: Cross multiply
    1,278.64x = 1,916.21 × 583.66
  4. Step 4: Simplify right side
    1,278.64x = 1,118,404.92
  5. Step 5: Solve for x
    x = 1,118,404.92/1,278.64
  6. Step 6: Final answer
    x = 874.69

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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.