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Finding the Fourth Proportional to 900.42, 1,343.58 and 783.78

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Solution

The fourth proportional to 900.42, 1,343.58 and 783.78 is: 1,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.42 : 1,343.58 = 783.78 : x
  2. Step 2: Convert to fraction form
    900.42/1,343.58 = 783.78/x
  3. Step 3: Cross multiply
    900.42x = 1,343.58 × 783.78
  4. Step 4: Simplify right side
    900.42x = 1,053,071.13
  5. Step 5: Solve for x
    x = 1,053,071.13/900.42
  6. Step 6: Final answer
    x = 1,169.53

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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.