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Finding the Fourth Proportional to 1,078.50, 1,488.36 and 612.90

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Solution

The fourth proportional to 1,078.50, 1,488.36 and 612.90 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.50 : 1,488.36 = 612.90 : x
  2. Step 2: Convert to fraction form
    1,078.50/1,488.36 = 612.90/x
  3. Step 3: Cross multiply
    1,078.50x = 1,488.36 × 612.90
  4. Step 4: Simplify right side
    1,078.50x = 912,215.84
  5. Step 5: Solve for x
    x = 912,215.84/1,078.50
  6. Step 6: Final answer
    x = 845.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.