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Finding the Fourth Proportional to 852.90, 1,178.52 and 778.20

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Solution

The fourth proportional to 852.90, 1,178.52 and 778.20 is: 1,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.90 : 1,178.52 = 778.20 : x
  2. Step 2: Convert to fraction form
    852.90/1,178.52 = 778.20/x
  3. Step 3: Cross multiply
    852.90x = 1,178.52 × 778.20
  4. Step 4: Simplify right side
    852.90x = 917,124.26
  5. Step 5: Solve for x
    x = 917,124.26/852.90
  6. Step 6: Final answer
    x = 1,075.30

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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.