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Finding the Fourth Proportional to 908.52, 1,358.01 and 786.51

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Solution

The fourth proportional to 908.52, 1,358.01 and 786.51 is: 1,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.52 : 1,358.01 = 786.51 : x
  2. Step 2: Convert to fraction form
    908.52/1,358.01 = 786.51/x
  3. Step 3: Cross multiply
    908.52x = 1,358.01 × 786.51
  4. Step 4: Simplify right side
    908.52x = 1,068,088.45
  5. Step 5: Solve for x
    x = 1,068,088.45/908.52
  6. Step 6: Final answer
    x = 1,175.64

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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.