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Finding the Fourth Proportional to 929.60, 1,388.12 and 808.16

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Solution

The fourth proportional to 929.60, 1,388.12 and 808.16 is: 1,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.60 : 1,388.12 = 808.16 : x
  2. Step 2: Convert to fraction form
    929.60/1,388.12 = 808.16/x
  3. Step 3: Cross multiply
    929.60x = 1,388.12 × 808.16
  4. Step 4: Simplify right side
    929.60x = 1,121,823.06
  5. Step 5: Solve for x
    x = 1,121,823.06/929.60
  6. Step 6: Final answer
    x = 1,206.78

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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.