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Finding the Fourth Proportional to 1,278.57, 1,918.35 and 916.23

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Solution

The fourth proportional to 1,278.57, 1,918.35 and 916.23 is: 1,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.57 : 1,918.35 = 916.23 : x
  2. Step 2: Convert to fraction form
    1,278.57/1,918.35 = 916.23/x
  3. Step 3: Cross multiply
    1,278.57x = 1,918.35 × 916.23
  4. Step 4: Simplify right side
    1,278.57x = 1,757,649.82
  5. Step 5: Solve for x
    x = 1,757,649.82/1,278.57
  6. Step 6: Final answer
    x = 1,374.70

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Double scale
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1.5x scale

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.