Home / 1,013.20-1,515.84-857.40

Finding the Fourth Proportional to 1,013.20, 1,515.84 and 857.40

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Solution

The fourth proportional to 1,013.20, 1,515.84 and 857.40 is: 1,282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.20 : 1,515.84 = 857.40 : x
  2. Step 2: Convert to fraction form
    1,013.20/1,515.84 = 857.40/x
  3. Step 3: Cross multiply
    1,013.20x = 1,515.84 × 857.40
  4. Step 4: Simplify right side
    1,013.20x = 1,299,681.22
  5. Step 5: Solve for x
    x = 1,299,681.22/1,013.20
  6. Step 6: Final answer
    x = 1,282.75

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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.