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Finding the Fourth Proportional to 910.05, 1,357.58 and 785.85

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Solution

The fourth proportional to 910.05, 1,357.58 and 785.85 is: 1,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.05 : 1,357.58 = 785.85 : x
  2. Step 2: Convert to fraction form
    910.05/1,357.58 = 785.85/x
  3. Step 3: Cross multiply
    910.05x = 1,357.58 × 785.85
  4. Step 4: Simplify right side
    910.05x = 1,066,850.31
  5. Step 5: Solve for x
    x = 1,066,850.31/910.05
  6. Step 6: Final answer
    x = 1,172.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.