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Finding the Fourth Proportional to 905.53, 1,349.48 and 808.06

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Solution

The fourth proportional to 905.53, 1,349.48 and 808.06 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.53 : 1,349.48 = 808.06 : x
  2. Step 2: Convert to fraction form
    905.53/1,349.48 = 808.06/x
  3. Step 3: Cross multiply
    905.53x = 1,349.48 × 808.06
  4. Step 4: Simplify right side
    905.53x = 1,090,460.81
  5. Step 5: Solve for x
    x = 1,090,460.81/905.53
  6. Step 6: Final answer
    x = 1,204.22

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1.5x scale

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.