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Finding the Fourth Proportional to 1,260.53, 1,891.76 and 530.69

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Solution

The fourth proportional to 1,260.53, 1,891.76 and 530.69 is: 796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.53 : 1,891.76 = 530.69 : x
  2. Step 2: Convert to fraction form
    1,260.53/1,891.76 = 530.69/x
  3. Step 3: Cross multiply
    1,260.53x = 1,891.76 × 530.69
  4. Step 4: Simplify right side
    1,260.53x = 1,003,935.46
  5. Step 5: Solve for x
    x = 1,003,935.46/1,260.53
  6. Step 6: Final answer
    x = 796.44

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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.