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Finding the Fourth Proportional to 1,775.62, 2,663.64 and 1,045.30

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Solution

The fourth proportional to 1,775.62, 2,663.64 and 1,045.30 is: 1,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.62 : 2,663.64 = 1,045.30 : x
  2. Step 2: Convert to fraction form
    1,775.62/2,663.64 = 1,045.30/x
  3. Step 3: Cross multiply
    1,775.62x = 2,663.64 × 1,045.30
  4. Step 4: Simplify right side
    1,775.62x = 2,784,302.89
  5. Step 5: Solve for x
    x = 2,784,302.89/1,775.62
  6. Step 6: Final answer
    x = 1,568.07

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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.