Home / 1,534.80-2,302.78-918.94

Finding the Fourth Proportional to 1,534.80, 2,302.78 and 918.94

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Solution

The fourth proportional to 1,534.80, 2,302.78 and 918.94 is: 1,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.80 : 2,302.78 = 918.94 : x
  2. Step 2: Convert to fraction form
    1,534.80/2,302.78 = 918.94/x
  3. Step 3: Cross multiply
    1,534.80x = 2,302.78 × 918.94
  4. Step 4: Simplify right side
    1,534.80x = 2,116,116.65
  5. Step 5: Solve for x
    x = 2,116,116.65/1,534.80
  6. Step 6: Final answer
    x = 1,378.76

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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.