Home / 1,548.04-2,320.98-778.12

Finding the Fourth Proportional to 1,548.04, 2,320.98 and 778.12

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Solution

The fourth proportional to 1,548.04, 2,320.98 and 778.12 is: 1,166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.04 : 2,320.98 = 778.12 : x
  2. Step 2: Convert to fraction form
    1,548.04/2,320.98 = 778.12/x
  3. Step 3: Cross multiply
    1,548.04x = 2,320.98 × 778.12
  4. Step 4: Simplify right side
    1,548.04x = 1,806,000.96
  5. Step 5: Solve for x
    x = 1,806,000.96/1,548.04
  6. Step 6: Final answer
    x = 1,166.64

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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.