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Finding the Fourth Proportional to 903.30, 1,245.70 and 770.57

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Solution

The fourth proportional to 903.30, 1,245.70 and 770.57 is: 1,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.30 : 1,245.70 = 770.57 : x
  2. Step 2: Convert to fraction form
    903.30/1,245.70 = 770.57/x
  3. Step 3: Cross multiply
    903.30x = 1,245.70 × 770.57
  4. Step 4: Simplify right side
    903.30x = 959,899.05
  5. Step 5: Solve for x
    x = 959,899.05/903.30
  6. Step 6: Final answer
    x = 1,062.66

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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.