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Finding the Fourth Proportional to 903.12, 1,357.08 and 844.80

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Solution

The fourth proportional to 903.12, 1,357.08 and 844.80 is: 1,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.12 : 1,357.08 = 844.80 : x
  2. Step 2: Convert to fraction form
    903.12/1,357.08 = 844.80/x
  3. Step 3: Cross multiply
    903.12x = 1,357.08 × 844.80
  4. Step 4: Simplify right side
    903.12x = 1,146,461.18
  5. Step 5: Solve for x
    x = 1,146,461.18/903.12
  6. Step 6: Final answer
    x = 1,269.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.