Home / 1,310.31-1,965.53-530.19

Finding the Fourth Proportional to 1,310.31, 1,965.53 and 530.19

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Solution

The fourth proportional to 1,310.31, 1,965.53 and 530.19 is: 795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.31 : 1,965.53 = 530.19 : x
  2. Step 2: Convert to fraction form
    1,310.31/1,965.53 = 530.19/x
  3. Step 3: Cross multiply
    1,310.31x = 1,965.53 × 530.19
  4. Step 4: Simplify right side
    1,310.31x = 1,042,111.20
  5. Step 5: Solve for x
    x = 1,042,111.20/1,310.31
  6. Step 6: Final answer
    x = 795.32

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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.