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Finding the Fourth Proportional to 1,310.66, 1,965.96 and 530.65

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Solution

The fourth proportional to 1,310.66, 1,965.96 and 530.65 is: 795.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.66 : 1,965.96 = 530.65 : x
  2. Step 2: Convert to fraction form
    1,310.66/1,965.96 = 530.65/x
  3. Step 3: Cross multiply
    1,310.66x = 1,965.96 × 530.65
  4. Step 4: Simplify right side
    1,310.66x = 1,043,239.13
  5. Step 5: Solve for x
    x = 1,043,239.13/1,310.66
  6. Step 6: Final answer
    x = 795.97

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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.