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Finding the Fourth Proportional to 900.45, 1,239.66 and 784.02

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Solution

The fourth proportional to 900.45, 1,239.66 and 784.02 is: 1,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.45 : 1,239.66 = 784.02 : x
  2. Step 2: Convert to fraction form
    900.45/1,239.66 = 784.02/x
  3. Step 3: Cross multiply
    900.45x = 1,239.66 × 784.02
  4. Step 4: Simplify right side
    900.45x = 971,918.23
  5. Step 5: Solve for x
    x = 971,918.23/900.45
  6. Step 6: Final answer
    x = 1,079.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.