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Finding the Fourth Proportional to 903.32, 1,245.50 and 770.52

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Solution

The fourth proportional to 903.32, 1,245.50 and 770.52 is: 1,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.32 : 1,245.50 = 770.52 : x
  2. Step 2: Convert to fraction form
    903.32/1,245.50 = 770.52/x
  3. Step 3: Cross multiply
    903.32x = 1,245.50 × 770.52
  4. Step 4: Simplify right side
    903.32x = 959,682.66
  5. Step 5: Solve for x
    x = 959,682.66/903.32
  6. Step 6: Final answer
    x = 1,062.40

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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.