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Finding the Fourth Proportional to 1,095, 1,511.58 and 780.90

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Solution

The fourth proportional to 1,095, 1,511.58 and 780.90 is: 1,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095 : 1,511.58 = 780.90 : x
  2. Step 2: Convert to fraction form
    1,095/1,511.58 = 780.90/x
  3. Step 3: Cross multiply
    1,095x = 1,511.58 × 780.90
  4. Step 4: Simplify right side
    1,095x = 1,180,392.82
  5. Step 5: Solve for x
    x = 1,180,392.82/1,095
  6. Step 6: Final answer
    x = 1,077.98

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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.