Home / 1,302.80-1,952.34-977.78

Finding the Fourth Proportional to 1,302.80, 1,952.34 and 977.78

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Solution

The fourth proportional to 1,302.80, 1,952.34 and 977.78 is: 1,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.80 : 1,952.34 = 977.78 : x
  2. Step 2: Convert to fraction form
    1,302.80/1,952.34 = 977.78/x
  3. Step 3: Cross multiply
    1,302.80x = 1,952.34 × 977.78
  4. Step 4: Simplify right side
    1,302.80x = 1,908,949.24
  5. Step 5: Solve for x
    x = 1,908,949.24/1,302.80
  6. Step 6: Final answer
    x = 1,465.27

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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.