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Finding the Fourth Proportional to 1,078.36, 1,616.29 and 584.39

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Solution

The fourth proportional to 1,078.36, 1,616.29 and 584.39 is: 875.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.36 : 1,616.29 = 584.39 : x
  2. Step 2: Convert to fraction form
    1,078.36/1,616.29 = 584.39/x
  3. Step 3: Cross multiply
    1,078.36x = 1,616.29 × 584.39
  4. Step 4: Simplify right side
    1,078.36x = 944,543.71
  5. Step 5: Solve for x
    x = 944,543.71/1,078.36
  6. Step 6: Final answer
    x = 875.91

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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.