Home / 1,310.28-1,965.40-530.27

Finding the Fourth Proportional to 1,310.28, 1,965.40 and 530.27

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Solution

The fourth proportional to 1,310.28, 1,965.40 and 530.27 is: 795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.28 : 1,965.40 = 530.27 : x
  2. Step 2: Convert to fraction form
    1,310.28/1,965.40 = 530.27/x
  3. Step 3: Cross multiply
    1,310.28x = 1,965.40 × 530.27
  4. Step 4: Simplify right side
    1,310.28x = 1,042,196.25
  5. Step 5: Solve for x
    x = 1,042,196.25/1,310.28
  6. Step 6: Final answer
    x = 795.40

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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.