Home / 1,278.10-1,916.70-585.10

Finding the Fourth Proportional to 1,278.10, 1,916.70 and 585.10

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Solution

The fourth proportional to 1,278.10, 1,916.70 and 585.10 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.10 : 1,916.70 = 585.10 : x
  2. Step 2: Convert to fraction form
    1,278.10/1,916.70 = 585.10/x
  3. Step 3: Cross multiply
    1,278.10x = 1,916.70 × 585.10
  4. Step 4: Simplify right side
    1,278.10x = 1,121,461.17
  5. Step 5: Solve for x
    x = 1,121,461.17/1,278.10
  6. Step 6: Final answer
    x = 877.44

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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.