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Finding the Fourth Proportional to 1,137.01, 1,705.79 and 478.53

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Solution

The fourth proportional to 1,137.01, 1,705.79 and 478.53 is: 717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.01 : 1,705.79 = 478.53 : x
  2. Step 2: Convert to fraction form
    1,137.01/1,705.79 = 478.53/x
  3. Step 3: Cross multiply
    1,137.01x = 1,705.79 × 478.53
  4. Step 4: Simplify right side
    1,137.01x = 816,271.69
  5. Step 5: Solve for x
    x = 816,271.69/1,137.01
  6. Step 6: Final answer
    x = 717.91

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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.