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Finding the Fourth Proportional to 1,073.05, 1,480.21 and 630.89

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Solution

The fourth proportional to 1,073.05, 1,480.21 and 630.89 is: 870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.05 : 1,480.21 = 630.89 : x
  2. Step 2: Convert to fraction form
    1,073.05/1,480.21 = 630.89/x
  3. Step 3: Cross multiply
    1,073.05x = 1,480.21 × 630.89
  4. Step 4: Simplify right side
    1,073.05x = 933,846.26
  5. Step 5: Solve for x
    x = 933,846.26/1,073.05
  6. Step 6: Final answer
    x = 870.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.